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3746360380 = 2257174336607
BaseRepresentation
bin1101111101001100…
…1110110000111100
3100200002102211022011
43133103032300330
530133032013010
61415425301004
7161560352320
oct33723166074
910602384264
103746360380
1116527a5004
12886794764
134792064b9
142777ab980
1516dd72a8a
hexdf4cec3c

3746360380 has 96 divisors (see below), whose sum is σ = 9741828096. Its totient is φ = 1180763136.

The previous prime is 3746360353. The next prime is 3746360383. The reversal of 3746360380 is 830636473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746360383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84037 + ... + 120643.

It is an arithmetic number, because the mean of its divisors is an integer number (101477376).

Almost surely, 23746360380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746360380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870914048).

3746360380 is an abundant number, since it is smaller than the sum of its proper divisors (5995467716).

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

3746360380 is a wasteful number, since it uses less digits than its factorization.

3746360380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36683 (or 36681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3746360380 is about 61207.5189825564. The cubic root of 3746360380 is about 1553.1134615857.

The spelling of 3746360380 in words is "three billion, seven hundred forty-six million, three hundred sixty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 301 340 430 476 595 602 731 860 1190 1204 1462 1505 2380 2924 3010 3655 5117 6020 7310 10234 14620 20468 25585 36607 51170 73214 102340 146428 183035 256249 366070 512498 622319 732140 1024996 1244638 1281245 1574101 2489276 2562490 3111595 3148202 4356233 5124980 6223190 6296404 7870505 8712466 11018707 12446380 15741010 17424932 21781165 22037414 26759717 31482020 43562330 44074828 53519434 55093535 87124660 107038868 110187070 133798585 187318019 220374140 267597170 374636038 535194340 749272076 936590095 1873180190 3746360380