3343331122400 has 36 divisors (see below), whose sum is σ = 8161907104512. Its totient is φ = 1337332448640.

The previous prime is 3343331122367. The next prime is 3343331122433. The reversal of 3343331122400 is 42211333433.

It is an interprime number because it is at equal distance from previous prime (3343331122367) and next prime (3343331122433).

It is a super-2 number, since 2×3343331122400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2089581152 + ... + 2089582751.

It is an arithmetic number, because the mean of its divisors is an integer number (226719641792).

Almost surely, 2^{3343331122400} is an apocalyptic number.

It is an amenable number.

3343331122400 is an abundant number, since it is smaller than the sum of its proper divisors (4818575982112).

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

3343331122400 is a wasteful number, since it uses less digits than its factorization.

3343331122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179163923 (or 4179163910 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 3343331122400 its reverse (42211333433), we get a palindrome (3385542455833).

The spelling of 3343331122400 in words is "three trillion, three hundred forty-three billion, three hundred thirty-one million, one hundred twenty-two thousand, four hundred".