3164553216 has 180 divisors, whose sum is σ = 9977944704. Its totient is φ = 958464000.

The previous prime is 3164553199. The next prime is 3164553263. The reversal of 3164553216 is 6123554613.

3164553216 is a `hidden beast` number, since 3 + 1 + 645 + 5 + 3 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621041 + ... + 1622991.

Almost surely, 2^3164553216 is an apocalyptic number.

3164553216 is a gapful number since it is divisible by the number (36) 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 3164553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988972352).

3164553216 is an abundant number, since it is smaller than the sum of its proper divisors (6813391488).

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

3164553216 is a wasteful number, since it uses less digits than its factorization.

3164553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1967 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3164553216 is about 56254.3617508900. The cubic root of 3164553216 is about 1468.1512563572.

The spelling of 3164553216 in words is "three billion, one hundred sixty-four million, five hundred fifty-three thousand, two hundred sixteen".