3312721440 has 576 divisors, whose sum is σ = 13916448000. Its totient is φ = 715309056.

The previous prime is 3312721427. The next prime is 3312721469. The reversal of 3312721440 is 441272133.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9384304 + ... + 9384656.

It is an arithmetic number, because the mean of its divisors is an integer number (24160500).

Almost surely, 2^3312721440 is an apocalyptic number.

3312721440 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 3312721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958224000).

3312721440 is an abundant number, since it is smaller than the sum of its proper divisors (10603726560).

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

3312721440 is a wasteful number, since it uses less digits than its factorization.

3312721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3312721440 is about 57556.2458817460. The cubic root of 3312721440 is about 1490.7162059880.

Adding to 3312721440 its reverse (441272133), we get a palindrome (3753993573).

The spelling of 3312721440 in words is "three billion, three hundred twelve million, seven hundred twenty-one thousand, four hundred forty".