3057677616 has 160 divisors (see below), whose sum is σ = 9263296000. Its totient is φ = 868734720.

The previous prime is 3057677599. The next prime is 3057677617. The reversal of 3057677616 is 6167767503.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3057677617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3769851 + ... + 3770661.

It is an arithmetic number, because the mean of its divisors is an integer number (57895600).

Almost surely, 2^3057677616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631648000).

3057677616 is an abundant number, since it is smaller than the sum of its proper divisors (6205618384).

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

3057677616 is a wasteful number, since it uses less digits than its factorization.

3057677616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The square root of 3057677616 is about 55296.2712666957. The cubic root of 3057677616 is about 1451.4337963447.

The spelling of 3057677616 in words is "three billion, fifty-seven million, six hundred seventy-seven thousand, six hundred sixteen".