3164858880 has 480 divisors, whose sum is σ = 11404895040. Its totient is φ = 746127360.

The previous prime is 3164858843. The next prime is 3164858887. The reversal of 3164858880 is 888584613.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3164858887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77191660 + ... + 77191700.

It is an arithmetic number, because the mean of its divisors is an integer number (23760198).

Almost surely, 2^3164858880 is an apocalyptic number.

3164858880 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 3164858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702447520).

3164858880 is an abundant number, since it is smaller than the sum of its proper divisors (8240036160).

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

3164858880 is a wasteful number, since it uses less digits than its factorization.

3164858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The square root of 3164858880 is about 56257.0784879556. The cubic root of 3164858880 is about 1468.1985243818.

The spelling of 3164858880 in words is "three billion, one hundred sixty-four million, eight hundred fifty-eight thousand, eight hundred eighty".