3868537200 has 120 divisors (see below), whose sum is σ = 13518825216. Its totient is φ = 937824000.

The previous prime is 3868537181. The next prime is 3868537291. The reversal of 3868537200 is 27358683.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133336 + ... + 159735.

Almost surely, 2^3868537200 is an apocalyptic number.

3868537200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3868537200 is an abundant number, since it is smaller than the sum of its proper divisors (9650288016).

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

3868537200 is a wasteful number, since it uses less digits than its factorization.

3868537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293103 (or 293092 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3868537200 is about 62197.5658687701. The cubic root of 3868537200 is about 1569.8166310515.

The spelling of 3868537200 in words is "three billion, eight hundred sixty-eight million, five hundred thirty-seven thousand, two hundred".