3887150400 has 504 divisors, whose sum is σ = 16132251200. Its totient is φ = 887362560.

The previous prime is 3887150363. The next prime is 3887150411. The reversal of 3887150400 is 40517883.

3887150400 is a `hidden beast` number, since 3 + 88 + 71 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 4938807 + ... + 4939593.

Almost surely, 2^3887150400 is an apocalyptic number.

3887150400 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 3887150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066125600).

3887150400 is an abundant number, since it is smaller than the sum of its proper divisors (12245100800).

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

3887150400 is a wasteful number, since it uses less digits than its factorization.

3887150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3887150400 is about 62347.0159670854. The cubic root of 3887150400 is about 1572.3302920762.

The spelling of 3887150400 in words is "three billion, eight hundred eighty-seven million, one hundred fifty thousand, four hundred".