3385886504 has 128 divisors (see below), whose sum is σ = 8550420480. Its totient is φ = 1213920000.

The previous prime is 3385886501. The next prime is 3385886519. The reversal of 3385886504 is 4056885833.

It is a super-2 number, since 2×3385886504² = 22928454835938684032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385886501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4508129 + ... + 4508879.

It is an arithmetic number, because the mean of its divisors is an integer number (66800160).

Almost surely, 2^3385886504 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 3385886504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275210240).

3385886504 is an abundant number, since it is smaller than the sum of its proper divisors (5164533976).

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

3385886504 is a wasteful number, since it uses less digits than its factorization.

3385886504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The square root of 3385886504 is about 58188.3708656635. The cubic root of 3385886504 is about 1501.6110843926.

The spelling of 3385886504 in words is "three billion, three hundred eighty-five million, eight hundred eighty-six thousand, five hundred four".