3312400000 has 432 divisors, whose sum is σ = 10389588930. Its totient is φ = 1048320000.

The previous prime is 3312399977. The next prime is 3312400027. The reversal of 3312400000 is 42133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 2729853504 + 582546496 = 52248^2 + 24136^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 254799994 + ... + 254800006.

Almost surely, 2^3312400000 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 3312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194794465).

3312400000 is an abundant number, since it is smaller than the sum of its proper divisors (7077188930).

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

3312400000 is an frugal number, since it uses more digits than its factorization.

3312400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3312400000 is about 57553.4534150645. The cubic root of 3312400000 is about 1490.6679887014.

Adding to 3312400000 its reverse (42133), we get a palindrome (3312442133).

The spelling of 3312400000 in words is "three billion, three hundred twelve million, four hundred thousand".