3138735600 has 1080 divisors, whose sum is σ = 14924437632. Its totient is φ = 593049600.

The previous prime is 3138735599. The next prime is 3138735617. The reversal of 3138735600 is 65378313.

3138735600 is a `hidden beast` number, since 3 + 13 + 8 + 7 + 35 + 600 = 666.

It is a super-2 number, since 2×3138735600² = 19703322333414720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46846767 + ... + 46846833.

Almost surely, 2^3138735600 is an apocalyptic number.

3138735600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462218816).

3138735600 is an abundant number, since it is smaller than the sum of its proper divisors (11785702032).

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

3138735600 is a wasteful number, since it uses less digits than its factorization.

3138735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3138735600 is about 56024.4196757093. The cubic root of 3138735600 is about 1464.1477724169.

The spelling of 3138735600 in words is "three billion, one hundred thirty-eight million, seven hundred thirty-five thousand, six hundred".