3382496320 has 56 divisors (see below), whose sum is σ = 9205228224. Its totient is φ = 1159712256.

The previous prime is 3382496281. The next prime is 3382496321. The reversal of 3382496320 is 236942833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3382496320² = 22882562709627084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3382496321) 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 7 ways as a sum of consecutive naturals, for example, 752782 + ... + 757261.

Almost surely, 2^3382496320 is an apocalyptic number.

It is an amenable number.

3382496320 is an abundant number, since it is smaller than the sum of its proper divisors (5822731904).

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

3382496320 is a wasteful number, since it uses less digits than its factorization.

3382496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510067 (or 1510057 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3382496320 is about 58159.2324571086. The cubic root of 3382496320 is about 1501.1097447013.

It can be divided in two parts, 338249 and 6320, that added together give a square (344569 = 587²).

The spelling of 3382496320 in words is "three billion, three hundred eighty-two million, four hundred ninety-six thousand, three hundred twenty".