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3750906420 = 2233517340151
BaseRepresentation
bin1101111110010010…
…0100101000110100
3100200101222210022000
43133210210220310
530140213001140
61420110535300
7161644115142
oct33744445064
910611883260
103750906420
11165531a568
12888207530
1347a138771
14278232592
1516e46ea30
hexdf924a34

3750906420 has 96 divisors (see below), whose sum is σ = 11737232640. Its totient is φ = 994435200.

The previous prime is 3750906403. The next prime is 3750906427. The reversal of 3750906420 is 246090573.

3750906420 is a `hidden beast` number, since 3 + 7 + 5 + 0 + 9 + 0 + 642 + 0 = 666.

3750906420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750906427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73345 + ... + 113495.

It is an arithmetic number, because the mean of its divisors is an integer number (122262840).

Almost surely, 23750906420 is an apocalyptic number.

3750906420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750906420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868616320).

3750906420 is an abundant number, since it is smaller than the sum of its proper divisors (7986326220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3750906420 is a wasteful number, since it uses less digits than its factorization.

3750906420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40342 (or 40334 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3750906420 is about 61244.6440107215. The cubic root of 3750906420 is about 1553.7414187900.

Adding to 3750906420 its reverse (246090573), we get a palindrome (3996996993).

The spelling of 3750906420 in words is "three billion, seven hundred fifty million, nine hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 23355 31140 40151 46710 80302 93420 120453 160604 200755 240906 361359 401510 481812 602265 722718 803020 1084077 1204530 1445436 1806795 2168154 2409060 3613590 4336308 5420385 6946123 7227180 10840770 13892246 20838369 21681540 27784492 34730615 41676738 62515107 69461230 83353476 104191845 125030214 138922460 187545321 208383690 250060428 312575535 375090642 416767380 625151070 750181284 937726605 1250302140 1875453210 3750906420