3797594640 has 480 divisors, whose sum is σ = 15599001600. Its totient is φ = 808206336.

The previous prime is 3797594629. The next prime is 3797594663. The reversal of 3797594640 is 464957973.

It is a happy number.

3797594640 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 594 + 6 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10881186 + ... + 10881534.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^3797594640 is an apocalyptic number.

3797594640 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 3797594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3797594640 is an abundant number, since it is smaller than the sum of its proper divisors (11801406960).

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

3797594640 is a wasteful number, since it uses less digits than its factorization.

3797594640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3797594640 is about 61624.6268954223. The cubic root of 3797594640 is about 1560.1614231382.

The spelling of 3797594640 in words is "three billion, seven hundred ninety-seven million, five hundred ninety-four thousand, six hundred forty".