3936237997824 has 864 divisors, whose sum is σ = 13254285623040. Its totient is φ = 1150516224000.

The previous prime is 3936237997817. The next prime is 3936237997843. The reversal of 3936237997824 is 4287997326393.

3936237997824 is a `hidden beast` number, since 3 + 93 + 6 + 2 + 379 + 97 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4053797659 + ... + 4053798629.

It is an arithmetic number, because the mean of its divisors is an integer number (15340608360).

Almost surely, 2^{3936237997824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936237997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627142811520).

3936237997824 is an abundant number, since it is smaller than the sum of its proper divisors (9318047625216).

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

3936237997824 is a wasteful number, since it uses less digits than its factorization.

3936237997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1155 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 3936237997824 in words is "three trillion, nine hundred thirty-six billion, two hundred thirty-seven million, nine hundred ninety-seven thousand, eight hundred twenty-four".