3138501168 has 200 divisors, whose sum is σ = 10431981120. Its totient is φ = 900927360.

The previous prime is 3138501139. The next prime is 3138501193. The reversal of 3138501168 is 8611058313.

3138501168 is a `hidden beast` number, since 3 + 138 + 501 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265071 + ... + 276657.

Almost surely, 2^3138501168 is an apocalyptic number.

3138501168 is a gapful number since it is divisible by the number (38) 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 3138501168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215990560).

3138501168 is an abundant number, since it is smaller than the sum of its proper divisors (7293479952).

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

3138501168 is a wasteful number, since it uses less digits than its factorization.

3138501168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3138501168 is about 56022.3274061334. The cubic root of 3138501168 is about 1464.1113191354. Note that the first 3 decimals are identical.

The spelling of 3138501168 in words is "three billion, one hundred thirty-eight million, five hundred one thousand, one hundred sixty-eight".