3333039400944 has 480 divisors, whose sum is σ = 11405307513600. Its totient is φ = 896466493440.

The previous prime is 3333039400931. The next prime is 3333039400967. The reversal of 3333039400944 is 4490049303333.

3333039400944 is a `hidden beast` number, since 333 + 303 + 9 + 4 + 0 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×3333039400944² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3333039400944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33529587 + ... + 33628845.

It is an arithmetic number, because the mean of its divisors is an integer number (23761057320).

Almost surely, 2^{3333039400944} is an apocalyptic number.

3333039400944 is a gapful number since it is divisible by the number (34) 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 3333039400944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702653756800).

3333039400944 is an abundant number, since it is smaller than the sum of its proper divisors (8072268112656).

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

3333039400944 is a wasteful number, since it uses less digits than its factorization.

3333039400944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99373 (or 99364 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 3333039400944 in words is "three trillion, three hundred thirty-three billion, thirty-nine million, four hundred thousand, nine hundred forty-four".