3106982016 has 128 divisors (see below), whose sum is σ = 9709502400. Its totient is φ = 974721024.

The previous prime is 3106981967. The next prime is 3106982041. The reversal of 3106982016 is 6102896013.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32311 + ... + 85193.

Almost surely, 2^3106982016 is an apocalyptic number.

3106982016 is a gapful number since it is divisible by the number (36) 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 3106982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854751200).

3106982016 is an abundant number, since it is smaller than the sum of its proper divisors (6602520384).

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

3106982016 is a wasteful number, since it uses less digits than its factorization.

3106982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52923 (or 52905 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3106982016 is about 55740.3087181978. The cubic root of 3106982016 is about 1459.1935898264.

The spelling of 3106982016 in words is "three billion, one hundred six million, nine hundred eighty-two thousand, sixteen".