3321500164164 has 288 divisors, whose sum is σ = 10560925939200. Its totient is φ = 874630939392.

The previous prime is 3321500164121. The next prime is 3321500164249. The reversal of 3321500164164 is 4614610051233.

3321500164164 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 5 + 0 + 0 + 1 + 641 + 6 + 4 = 666.

It is a super-2 number, since 2×3321500164164² (a number of 26 digits) contains 22 as substring.

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

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, 104806329 + ... + 104838015.

Almost surely, 2^{3321500164164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321500164164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280462969600).

3321500164164 is an abundant number, since it is smaller than the sum of its proper divisors (7239425775036).

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

3321500164164 is a wasteful number, since it uses less digits than its factorization.

3321500164164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32384 (or 32365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3321500164164 in words is "three trillion, three hundred twenty-one billion, five hundred million, one hundred sixty-four thousand, one hundred sixty-four".