3876375600 has 90 divisors (see below), whose sum is σ = 13452112596. Its totient is φ = 1033699200.

The previous prime is 3876375589. The next prime is 3876375637. The reversal of 3876375600 is 65736783.

3876375600 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 37 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 534786 + ... + 541985.

Almost surely, 2^3876375600 is an apocalyptic number.

3876375600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3876375600 is an abundant number, since it is smaller than the sum of its proper divisors (9575736996).

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

3876375600 is a wasteful number, since it uses less digits than its factorization.

3876375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076795 (or 1076781 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3876375600 is about 62260.5460946176. The cubic root of 3876375600 is about 1570.8761658509.

The spelling of 3876375600 in words is "three billion, eight hundred seventy-six million, three hundred seventy-five thousand, six hundred".