3880166400 has 396 divisors, whose sum is σ = 15165715344. Its totient is φ = 940032000.

The previous prime is 3880166399. The next prime is 3880166441. The reversal of 3880166400 is 46610883.

It is a happy number.

3880166400 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2533635 + ... + 2535165.

Almost surely, 2^3880166400 is an apocalyptic number.

3880166400 is a gapful number since it is divisible by the number (30) 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 3880166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582857672).

3880166400 is an abundant number, since it is smaller than the sum of its proper divisors (11285548944).

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

3880166400 is a wasteful number, since it uses less digits than its factorization.

3880166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3880166400 is about 62290.9816907713. The cubic root of 3880166400 is about 1571.3880647567.

The spelling of 3880166400 in words is "three billion, eight hundred eighty million, one hundred sixty-six thousand, four hundred".