3165626880 has 480 divisors, whose sum is σ = 12221003520. Its totient is φ = 776355840.

The previous prime is 3165626857. The next prime is 3165626923. The reversal of 3165626880 is 886265613.

3165626880 is a `hidden beast` number, since 3 + 1 + 6 + 562 + 6 + 8 + 80 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681145 + ... + 11681415.

It is an arithmetic number, because the mean of its divisors is an integer number (25460424).

Almost surely, 2^3165626880 is an apocalyptic number.

3165626880 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 3165626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110501760).

3165626880 is an abundant number, since it is smaller than the sum of its proper divisors (9055376640).

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

3165626880 is a wasteful number, since it uses less digits than its factorization.

3165626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3165626880 is about 56263.9038816185. The cubic root of 3165626880 is about 1468.3172748342.

The spelling of 3165626880 in words is "three billion, one hundred sixty-five million, six hundred twenty-six thousand, eight hundred eighty".