3997911396096 has 504 divisors, whose sum is σ = 12117607771584. Its totient is φ = 1315743989760.

The previous prime is 3997911396079. The next prime is 3997911396107. The reversal of 3997911396096 is 6906931197993.

3997911396096 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 9 + 1 + 1 + 3 + 9 + 609 + 6 = 666.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6928788960 + ... + 6928789536.

Almost surely, 2^{3997911396096} is an apocalyptic number.

3997911396096 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 3997911396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058803885792).

3997911396096 is an abundant number, since it is smaller than the sum of its proper divisors (8119696375488).

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

3997911396096 is an equidigital number, since it uses as much as digits as its factorization.

3997911396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 133923132, while the sum is 72.

The spelling of 3997911396096 in words is "three trillion, nine hundred ninety-seven billion, nine hundred eleven million, three hundred ninety-six thousand, ninety-six".