3831657274368 has 1056 divisors, whose sum is σ = 14477306296320. Its totient is φ = 989913415680.

The previous prime is 3831657274339. The next prime is 3831657274387. The reversal of 3831657274368 is 8634727561383.

3831657274368 is a `hidden beast` number, since 3 + 8 + 3 + 16 + 572 + 7 + 43 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3323206080 + ... + 3323207232.

Almost surely, 2^{3831657274368} 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 3831657274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238653148160).

3831657274368 is an abundant number, since it is smaller than the sum of its proper divisors (10645649021952).

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

3831657274368 is a wasteful number, since it uses less digits than its factorization.

3831657274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1399 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 3831657274368 in words is "three trillion, eight hundred thirty-one billion, six hundred fifty-seven million, two hundred seventy-four thousand, three hundred sixty-eight".