3313722348400 has 60 divisors (see below), whose sum is σ = 7978265967672. Its totient is φ = 1322650558720.

The previous prime is 3313722348389. The next prime is 3313722348403. The reversal of 3313722348400 is 48432273133.

It is a happy number.

It is a super-2 number, since 2×3313722348400² (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 not an unprimeable number, because it can be changed into a prime (3313722348403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8682907 + ... + 9056506.

Almost surely, 2^{3313722348400} is an apocalyptic number.

It is an amenable number.

3313722348400 is an abundant number, since it is smaller than the sum of its proper divisors (4664543619272).

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

3313722348400 is a wasteful number, since it uses less digits than its factorization.

3313722348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17739898 (or 17739887 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 3313722348400 in words is "three trillion, three hundred thirteen billion, seven hundred twenty-two million, three hundred forty-eight thousand, four hundred".