3385920960 has 112 divisors (see below), whose sum is σ = 11944807200. Its totient is φ = 902909952.

The previous prime is 3385920959. The next prime is 3385920971. The reversal of 3385920960 is 690295833.

3385920960 is a `hidden beast` number, since 3 + 385 + 9 + 209 + 60 = 666.

It is a super-2 number, since 2×3385920960² = 22928921494734643200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187305 + ... + 204584.

Almost surely, 2^3385920960 is an apocalyptic number.

3385920960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385920960 is an abundant number, since it is smaller than the sum of its proper divisors (8558886240).

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

3385920960 is a wasteful number, since it uses less digits than its factorization.

3385920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391915 (or 391899 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3385920960 is about 58188.6669378153. Note that the first 3 decimals coincide. The cubic root of 3385920960 is about 1501.6161780203.

The spelling of 3385920960 in words is "three billion, three hundred eighty-five million, nine hundred twenty thousand, nine hundred sixty".