3373406800 has 30 divisors (see below), whose sum is σ = 8104610798. Its totient is φ = 1349362560.

The previous prime is 3373406797. The next prime is 3373406819. The reversal of 3373406800 is 86043733.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63936016 + 3309470784 = 7996^2 + 57528^2 .

It is a super-2 number, since 2×3373406800² = 22759746876572480000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4216359 + ... + 4217158.

Almost surely, 2^3373406800 is an apocalyptic number.

It is an amenable number.

3373406800 is an abundant number, since it is smaller than the sum of its proper divisors (4731203998).

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

3373406800 is a wasteful number, since it uses less digits than its factorization.

3373406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433535 (or 8433524 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 3373406800 is about 58081.0364921288. The cubic root of 3373406800 is about 1499.7639332206.

The spelling of 3373406800 in words is "three billion, three hundred seventy-three million, four hundred six thousand, eight hundred".