3797995309056 has 960 divisors, whose sum is σ = 13033381561200. Its totient is φ = 1098077700096.

The previous prime is 3797995309027. The next prime is 3797995309061. The reversal of 3797995309056 is 6509035997973.

3797995309056 is a `hidden beast` number, since 37 + 9 + 7 + 9 + 9 + 530 + 9 + 0 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 602424345600 + 3195570963456 = 776160^2 + 1787616^2 .

It is a super-2 number, since 2×3797995309056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6195750606 + ... + 6195751218.

Almost surely, 2^{3797995309056} is an apocalyptic number.

3797995309056 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 3797995309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516690780600).

3797995309056 is an abundant number, since it is smaller than the sum of its proper divisors (9235386252144).

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

3797995309056 is an equidigital number, since it uses as much as digits as its factorization.

3797995309056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 434010150, while the sum is 72.

The spelling of 3797995309056 in words is "three trillion, seven hundred ninety-seven billion, nine hundred ninety-five million, three hundred nine thousand, fifty-six".