3323290734400 has 672 divisors, whose sum is σ = 10278722119680. Its totient is φ = 1029532999680.

The previous prime is 3323290734397. The next prime is 3323290734469. The reversal of 3323290734400 is 44370923233.

It is a super-2 number, since 2×3323290734400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2431082517 + ... + 2431083883.

It is an arithmetic number, because the mean of its divisors is an integer number (15295717440).

Almost surely, 2^{3323290734400} 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 3323290734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139361059840).

3323290734400 is an abundant number, since it is smaller than the sum of its proper divisors (6955431385280).

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

3323290734400 is a wasteful number, since it uses less digits than its factorization.

3323290734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 40.

The spelling of 3323290734400 in words is "three trillion, three hundred twenty-three billion, two hundred ninety million, seven hundred thirty-four thousand, four hundred".