3877986528 has 144 divisors (see below), whose sum is σ = 11901891456. Its totient is φ = 1190661120.

The previous prime is 3877986503. The next prime is 3877986547. The reversal of 3877986528 is 8256897783.

3877986528 is a `hidden beast` number, since 38 + 7 + 79 + 8 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3877986528² = 30077559022698989568, which contains 22 as substring.

It is a congruent number.

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, 2474001 + ... + 2475567.

It is an arithmetic number, because the mean of its divisors is an integer number (82652024).

Almost surely, 2^3877986528 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 3877986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950945728).

3877986528 is an abundant number, since it is smaller than the sum of its proper divisors (8023904928).

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

3877986528 is a wasteful number, since it uses less digits than its factorization.

3877986528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2246 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The square root of 3877986528 is about 62273.4817398224. The cubic root of 3877986528 is about 1571.0937417684.

The spelling of 3877986528 in words is "three billion, eight hundred seventy-seven million, nine hundred eighty-six thousand, five hundred twenty-eight".