3874342603768 has 256 divisors, whose sum is σ = 9768898944000. Its totient is φ = 1396873175040.

The previous prime is 3874342603757. The next prime is 3874342603783. The reversal of 3874342603768 is 8673062434783.

It is a super-2 number, since 2×3874342603768² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) 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, 96599383 + ... + 96639481.

It is an arithmetic number, because the mean of its divisors is an integer number (38159761500).

Almost surely, 2^{3874342603768} 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 3874342603768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884449472000).

3874342603768 is an abundant number, since it is smaller than the sum of its proper divisors (5894556340232).

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

3874342603768 is a wasteful number, since it uses less digits than its factorization.

3874342603768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40390 (or 40386 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 61.

The spelling of 3874342603768 in words is "three trillion, eight hundred seventy-four billion, three hundred forty-two million, six hundred three thousand, seven hundred sixty-eight".