3138338016 has 72 divisors (see below), whose sum is σ = 9735990264. Its totient is φ = 951010560.

The previous prime is 3138337997. The next prime is 3138338069. The reversal of 3138338016 is 6108338313.

3138338016 is a `hidden beast` number, since 313 + 8 + 338 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 492151 + ... + 498486.

It is an arithmetic number, because the mean of its divisors is an integer number (135222087).

Almost surely, 2^3138338016 is an apocalyptic number.

3138338016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3138338016 is an abundant number, since it is smaller than the sum of its proper divisors (6597652248).

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

3138338016 is a wasteful number, since it uses less digits than its factorization.

3138338016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990664 (or 990653 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3138338016 is about 56020.8712534891. The cubic root of 3138338016 is about 1464.0859485507.

The spelling of 3138338016 in words is "three billion, one hundred thirty-eight million, three hundred thirty-eight thousand, sixteen".