3343331230400 has 504 divisors, whose sum is σ = 10116716774400. Its totient is φ = 1081295308800.

The previous prime is 3343331230373. The next prime is 3343331230411. The reversal of 3343331230400 is 40321333433.

It is a happy number.

It is a super-2 number, since 2×3343331230400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356009705 + ... + 356019095.

Almost surely, 2^{3343331230400} 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 3343331230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058358387200).

3343331230400 is an abundant number, since it is smaller than the sum of its proper divisors (6773385544000).

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

3343331230400 is a wasteful number, since it uses less digits than its factorization.

3343331230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 3343331230400 its reverse (40321333433), we get a palindrome (3383652563833).

The spelling of 3343331230400 in words is "three trillion, three hundred forty-three billion, three hundred thirty-one million, two hundred thirty thousand, four hundred".