3332400320 has 56 divisors (see below), whose sum is σ = 8008162800. Its totient is φ = 1320717312.

The previous prime is 3332400319. The next prime is 3332400359. The reversal of 3332400320 is 230042333.

It is a super-2 number, since 2×3332400320² = 22209783785472204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3332400292 and 3332400301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12890 + ... + 82649.

Almost surely, 2^3332400320 is an apocalyptic number.

It is an amenable number.

3332400320 is an abundant number, since it is smaller than the sum of its proper divisors (4675762480).

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

3332400320 is a wasteful number, since it uses less digits than its factorization.

3332400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95665 (or 95655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3332400320 is about 57726.9462209807. The cubic root of 3332400320 is about 1493.6621955006.

Adding to 3332400320 its reverse (230042333), we get a palindrome (3562442653).

The spelling of 3332400320 in words is "three billion, three hundred thirty-two million, four hundred thousand, three hundred twenty".