3312432496800 has 1728 divisors, whose sum is σ = 14526082771200. Its totient is φ = 707505684480.

The previous prime is 3312432496781. The next prime is 3312432496801. The reversal of 3312432496800 is 86942342133.

3312432496800 is a `hidden beast` number, since 3 + 3 + 124 + 32 + 496 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3312432496801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10789682247 + ... + 10789682553.

It is an arithmetic number, because the mean of its divisors is an integer number (8406297900).

Almost surely, 2^{3312432496800} is an apocalyptic number.

3312432496800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312432496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263041385600).

3312432496800 is an abundant number, since it is smaller than the sum of its proper divisors (11213650274400).

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

3312432496800 is a wasteful number, since it uses less digits than its factorization.

3312432496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3312432496800 in words is "three trillion, three hundred twelve billion, four hundred thirty-two million, four hundred ninety-six thousand, eight hundred".