3851288400 has 60 divisors (see below), whose sum is σ = 12336964352. Its totient is φ = 1027009920.

The previous prime is 3851288359. The next prime is 3851288417. The reversal of 3851288400 is 48821583.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1603504 + ... + 1605903.

Almost surely, 2^3851288400 is an apocalyptic number.

3851288400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3851288400 is an abundant number, since it is smaller than the sum of its proper divisors (8485675952).

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

3851288400 is a wasteful number, since it uses less digits than its factorization.

3851288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209428 (or 3209417 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 3851288400 is about 62058.7495845670. The cubic root of 3851288400 is about 1567.4800202984.

The spelling of 3851288400 in words is "three billion, eight hundred fifty-one million, two hundred eighty-eight thousand, four hundred".