3797256960 has 648 divisors, whose sum is σ = 15831597600. Its totient is φ = 839946240.

The previous prime is 3797256937. The next prime is 3797256961. The reversal of 3797256960 is 696527973.

3797256960 is a `hidden beast` number, since 3 + 7 + 9 + 72 + 569 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3797256897 and 3797256906.

It is not an unprimeable number, because it can be changed into a prime (3797256961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122492145 + ... + 122492175.

Almost surely, 2^3797256960 is an apocalyptic number.

3797256960 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 3797256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915798800).

3797256960 is an abundant number, since it is smaller than the sum of its proper divisors (12034340640).

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

3797256960 is an equidigital number, since it uses as much as digits as its factorization.

3797256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3797256960 is about 61621.8870207656. The cubic root of 3797256960 is about 1560.1151788726.

The spelling of 3797256960 in words is "three billion, seven hundred ninety-seven million, two hundred fifty-six thousand, nine hundred sixty".