3875558400 has 792 divisors, whose sum is σ = 16630810560. Its totient is φ = 875888640.

The previous prime is 3875558399. The next prime is 3875558411. The reversal of 3875558400 is 48555783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43545556 + ... + 43545644.

Almost surely, 2^3875558400 is an apocalyptic number.

3875558400 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 3875558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315405280).

3875558400 is an abundant number, since it is smaller than the sum of its proper divisors (12755252160).

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

3875558400 is an equidigital number, since it uses as much as digits as its factorization.

3875558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 3875558400 is about 62253.9830051058. The cubic root of 3875558400 is about 1570.7657697528.

The spelling of 3875558400 in words is "three billion, eight hundred seventy-five million, five hundred fifty-eight thousand, four hundred".