3312508400 has 60 divisors (see below), whose sum is σ = 8011857000. Its totient is φ = 1316087040.

The previous prime is 3312508399. The next prime is 3312508447. The reversal of 3312508400 is 48052133.

It is a self number, because there is not a number n which added to its sum of digits gives 3312508400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31811 + ... + 87389.

It is an arithmetic number, because the mean of its divisors is an integer number (133530950).

Almost surely, 2^3312508400 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 3312508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005928500).

3312508400 is an abundant number, since it is smaller than the sum of its proper divisors (4699348600).

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

3312508400 is a wasteful number, since it uses less digits than its factorization.

3312508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55746 (or 55735 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3312508400 is about 57554.3951405972. The cubic root of 3312508400 is about 1490.6842494839.

The spelling of 3312508400 in words is "three billion, three hundred twelve million, five hundred eight thousand, four hundred".