3874267607728 has 120 divisors (see below), whose sum is σ = 8979916956864. Its totient is φ = 1613364480000.

The previous prime is 3874267607701. The next prime is 3874267607747. The reversal of 3874267607728 is 8277067624783.

It is a super-3 number, since 3×3874267607728³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21696088 + ... + 21873928.

Almost surely, 2^{3874267607728} 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 3874267607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489958478432).

3874267607728 is an abundant number, since it is smaller than the sum of its proper divisors (5105649349136).

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

3874267607728 is a wasteful number, since it uses less digits than its factorization.

3874267607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178651 (or 178638 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 67.

The spelling of 3874267607728 in words is "three trillion, eight hundred seventy-four billion, two hundred sixty-seven million, six hundred seven thousand, seven hundred twenty-eight".