3138631200 has 144 divisors (see below), whose sum is σ = 11351460960. Its totient is φ = 836962560.

The previous prime is 3138631159. The next prime is 3138631207. The reversal of 3138631200 is 21368313.

It is a happy number.

3138631200 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 631 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3138631200² = 19702011619226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3138631207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51054 + ... + 94253.

It is an arithmetic number, because the mean of its divisors is an integer number (78829590).

Almost surely, 2^3138631200 is an apocalyptic number.

3138631200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138631200 is an abundant number, since it is smaller than the sum of its proper divisors (8212829760).

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

3138631200 is a wasteful number, since it uses less digits than its factorization.

3138631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145336 (or 145317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3138631200 is about 56023.4879314025. The cubic root of 3138631200 is about 1464.1315388394.

Adding to 3138631200 its reverse (21368313), we get a palindrome (3159999513).

The spelling of 3138631200 in words is "three billion, one hundred thirty-eight million, six hundred thirty-one thousand, two hundred".