3077131680 has 480 divisors, whose sum is σ = 12566606976. Its totient is φ = 694573056.

The previous prime is 3077131669. The next prime is 3077131723. The reversal of 3077131680 is 861317703.

3077131680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 9706882 + ... + 9707198.

Almost surely, 2^3077131680 is an apocalyptic number.

3077131680 is a gapful number since it is divisible by the number (30) 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 3077131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283303488).

3077131680 is an abundant number, since it is smaller than the sum of its proper divisors (9489475296).

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

3077131680 is a wasteful number, since it uses less digits than its factorization.

3077131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3077131680 is about 55471.8999133796. The cubic root of 3077131680 is about 1454.5054754731.

The spelling of 3077131680 in words is "three billion, seventy-seven million, one hundred thirty-one thousand, six hundred eighty".