3867314400 has 108 divisors (see below), whose sum is σ = 13637142792. Its totient is φ = 1031281920.

The previous prime is 3867314393. The next prime is 3867314431. The reversal of 3867314400 is 44137683.

It is a super-2 number, since 2×3867314400² = 29912241336894720000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 261364 + ... + 275763.

Almost surely, 2^3867314400 is an apocalyptic number.

3867314400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3867314400 is an abundant number, since it is smaller than the sum of its proper divisors (9769828392).

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

3867314400 is a wasteful number, since it uses less digits than its factorization.

3867314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537153 (or 537137 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3867314400 is about 62187.7351251836. The cubic root of 3867314400 is about 1569.6512133096.

The spelling of 3867314400 in words is "three billion, eight hundred sixty-seven million, three hundred fourteen thousand, four hundred".