3168506880 has 1056 divisors, whose sum is σ = 14714818560. Its totient is φ = 610467840.

The previous prime is 3168506879. The next prime is 3168506917. The reversal of 3168506880 is 886058613.

3168506880 is a `hidden beast` number, since 3 + 1 + 68 + 506 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67415017 + ... + 67415063.

Almost surely, 2^3168506880 is an apocalyptic number.

3168506880 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 3168506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

3168506880 is an abundant number, since it is smaller than the sum of its proper divisors (11546311680).

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

3168506880 is a wasteful number, since it uses less digits than its factorization.

3168506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3168506880 is about 56289.4917369130. The cubic root of 3168506880 is about 1468.7624180510.

The spelling of 3168506880 in words is "three billion, one hundred sixty-eight million, five hundred six thousand, eight hundred eighty".