3786872800 has 36 divisors (see below), whose sum is σ = 9244705176. Its totient is φ = 1514748800.

The previous prime is 3786872777. The next prime is 3786872839. The reversal of 3786872800 is 82786873.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2365996 + ... + 2367595.

It is an arithmetic number, because the mean of its divisors is an integer number (256797366).

Almost surely, 2^3786872800 is an apocalyptic number.

It is an amenable number.

3786872800 is an abundant number, since it is smaller than the sum of its proper divisors (5457832376).

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

3786872800 is a wasteful number, since it uses less digits than its factorization.

3786872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733611 (or 4733598 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 3786872800 is about 61537.5722628054. The cubic root of 3786872800 is about 1558.6917587719.

The spelling of 3786872800 in words is "three billion, seven hundred eighty-six million, eight hundred seventy-two thousand, eight hundred".