3076177664 has 144 divisors (see below), whose sum is σ = 7306891200. Its totient is φ = 1291530240.

The previous prime is 3076177661. The next prime is 3076177679. The reversal of 3076177664 is 4667716703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3076177661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4653494 + ... + 4654154.

It is an arithmetic number, because the mean of its divisors is an integer number (50742300).

Almost surely, 2^3076177664 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 3076177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653445600).

3076177664 is an abundant number, since it is smaller than the sum of its proper divisors (4230713536).

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

3076177664 is an frugal number, since it uses more digits than its factorization.

3076177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The square root of 3076177664 is about 55463.3001542461. The cubic root of 3076177664 is about 1454.3551444649.

The spelling of 3076177664 in words is "three billion, seventy-six million, one hundred seventy-seven thousand, six hundred sixty-four".