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3745602396 = 2232414753993
BaseRepresentation
bin1101111101000001…
…0101101101011100
3100200001000022112200
43133100111231130
530132333234041
61415401131500
7161551044414
oct33720255534
910601008480
103745602396
111652327578
12886489b90
13478ccc4a3
14277651644
1516dc731b6
hexdf415b5c

3745602396 has 72 divisors (see below), whose sum is σ = 9905523264. Its totient is φ = 1192143360.

The previous prime is 3745602383. The next prime is 3745602397. The reversal of 3745602396 is 6932065473.

3745602396 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 602 + 39 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745602397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42376 + ... + 96368.

It is an arithmetic number, because the mean of its divisors is an integer number (137576712).

Almost surely, 23745602396 is an apocalyptic number.

3745602396 is a gapful number since it is divisible by the number (36) 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 3745602396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952761632).

3745602396 is an abundant number, since it is smaller than the sum of its proper divisors (6159920868).

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

3745602396 is a wasteful number, since it uses less digits than its factorization.

3745602396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54091 (or 54086 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3745602396 is about 61201.3267503246. The cubic root of 3745602396 is about 1553.0087097343.

The spelling of 3745602396 in words is "three billion, seven hundred forty-five million, six hundred two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1692 1927 3854 5781 7708 11562 17343 23124 34686 53993 69372 107986 161979 215972 323958 485937 647916 971874 1943748 2213713 2537671 4427426 5075342 6641139 7613013 8854852 10150684 13282278 15226026 19923417 22839039 26564556 30452052 39846834 45678078 79693668 91356156 104044511 208089022 312133533 416178044 624267066 936400599 1248534132 1872801198 3745602396