3167978880 has 256 divisors, whose sum is σ = 11201068800. Its totient is φ = 755097600.

The previous prime is 3167978873. The next prime is 3167978897. The reversal of 3167978880 is 888797613.

It is a self number, because there is not a number n which added to its sum of digits gives 3167978880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287091 + ... + 1289549.

It is an arithmetic number, because the mean of its divisors is an integer number (43754175).

Almost surely, 2^3167978880 is an apocalyptic number.

3167978880 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 3167978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600534400).

3167978880 is an abundant number, since it is smaller than the sum of its proper divisors (8033089920).

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

3167978880 is a wasteful number, since it uses less digits than its factorization.

3167978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The square root of 3167978880 is about 56284.8015009381. The cubic root of 3167978880 is about 1468.6808286603.

The spelling of 3167978880 in words is "three billion, one hundred sixty-seven million, nine hundred seventy-eight thousand, eight hundred eighty".