3880406400 has 768 divisors, whose sum is σ = 15299020800. Its totient is φ = 855244800.

The previous prime is 3880406399. The next prime is 3880406441. The reversal of 3880406400 is 46040883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65769571 + ... + 65769629.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^3880406400 is an apocalyptic number.

3880406400 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 3880406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

3880406400 is an abundant number, since it is smaller than the sum of its proper divisors (11418614400).

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

3880406400 is a wasteful number, since it uses less digits than its factorization.

3880406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3880406400 is about 62292.9081035715. The cubic root of 3880406400 is about 1571.4204624532.

The spelling of 3880406400 in words is "three billion, eight hundred eighty million, four hundred six thousand, four hundred".