3874402676032 has 112 divisors (see below), whose sum is σ = 8973626147200. Its totient is φ = 1659029299200.

The previous prime is 3874402676017. The next prime is 3874402676041. The reversal of 3874402676032 is 2306762044783.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×3874402676032³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25630432 + ... + 25781152.

Almost surely, 2^{3874402676032} is an apocalyptic number.

3874402676032 is a gapful number since it is divisible by the number (32) 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 3874402676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486813073600).

3874402676032 is an abundant number, since it is smaller than the sum of its proper divisors (5099223471168).

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

3874402676032 is a wasteful number, since it uses less digits than its factorization.

3874402676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151925 (or 151901 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 3874402676032 in words is "three trillion, eight hundred seventy-four billion, four hundred two million, six hundred seventy-six thousand, thirty-two".