3874404593664 has 832 divisors, whose sum is σ = 13116839362560. Its totient is φ = 1119412224000.

The previous prime is 3874404593597. The next prime is 3874404593783. The reversal of 3874404593664 is 4663954044783.

3874404593664 is a `hidden beast` number, since 3 + 8 + 7 + 440 + 45 + 93 + 6 + 64 = 666.

It is a super-2 number, since 2×3874404593664² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2677542189 + ... + 2677543635.

Almost surely, 2^{3874404593664} 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 3874404593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558419681280).

3874404593664 is an abundant number, since it is smaller than the sum of its proper divisors (9242434768896).

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

3874404593664 is a wasteful number, since it uses less digits than its factorization.

3874404593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 3874404593664 in words is "three trillion, eight hundred seventy-four billion, four hundred four million, five hundred ninety-three thousand, six hundred sixty-four".