3312444032400 has 480 divisors, whose sum is σ = 11312061696000. Its totient is φ = 826184724480.

The previous prime is 3312444032399. The next prime is 3312444032413. The reversal of 3312444032400 is 42304442133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 843073636 + ... + 843077564.

It is an arithmetic number, because the mean of its divisors is an integer number (23566795200).

Almost surely, 2^{3312444032400} is an apocalyptic number.

3312444032400 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 3312444032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656030848000).

3312444032400 is an abundant number, since it is smaller than the sum of its proper divisors (7999617663600).

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

3312444032400 is a wasteful number, since it uses less digits than its factorization.

3312444032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3312444032400 its reverse (42304442133), we get a palindrome (3354748474533).

The spelling of 3312444032400 in words is "three trillion, three hundred twelve billion, four hundred forty-four million, thirty-two thousand, four hundred".