3880166976 has 280 divisors, whose sum is σ = 13719657600. Its totient is φ = 1060190208.

The previous prime is 3880166951. The next prime is 3880166981. The reversal of 3880166976 is 6796610883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832300 + ... + 836948.

Almost surely, 2^3880166976 is an apocalyptic number.

3880166976 is a gapful number since it is divisible by the number (36) 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 3880166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859828800).

3880166976 is an abundant number, since it is smaller than the sum of its proper divisors (9839490624).

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

3880166976 is a wasteful number, since it uses less digits than its factorization.

3880166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3880166976 is about 62290.9863142333. The cubic root of 3880166976 is about 1571.3881425128.

The spelling of 3880166976 in words is "three billion, eight hundred eighty million, one hundred sixty-six thousand, nine hundred seventy-six".