3385573164 has 72 divisors (see below), whose sum is σ = 8717829120. Its totient is φ = 1107511392.

The previous prime is 3385573109. The next prime is 3385573183. The reversal of 3385573164 is 4613755833.

3385573164 is a `hidden beast` number, since 3 + 3 + 8 + 557 + 31 + 64 = 666.

It is a super-2 number, since 2×3385573164² = 22924211297593941792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1832089 + ... + 1833935.

It is an arithmetic number, because the mean of its divisors is an integer number (121080960).

Almost surely, 2^3385573164 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 3385573164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

3385573164 is an abundant number, since it is smaller than the sum of its proper divisors (5332255956).

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

3385573164 is a wasteful number, since it uses less digits than its factorization.

3385573164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2774 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3385573164 is about 58185.6783409801. The cubic root of 3385573164 is about 1501.5647617795.

The spelling of 3385573164 in words is "three billion, three hundred eighty-five million, five hundred seventy-three thousand, one hundred sixty-four".