3320400202344 has 128 divisors (see below), whose sum is σ = 9344158704000. Its totient is φ = 1092378051072.

The previous prime is 3320400202279. The next prime is 3320400202363. The reversal of 3320400202344 is 4432020040233.

3320400202344 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 400 + 20 + 234 + 4 = 666.

It is a super-2 number, since 2×3320400202344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 5950092 + ... + 6484164.

It is an arithmetic number, because the mean of its divisors is an integer number (73001239875).

Almost surely, 2^{3320400202344} 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 3320400202344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672079352000).

3320400202344 is an abundant number, since it is smaller than the sum of its proper divisors (6023758501656).

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

3320400202344 is a wasteful number, since it uses less digits than its factorization.

3320400202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534464 (or 534454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3320400202344 its reverse (4432020040233), we get a palindrome (7752420242577).

The spelling of 3320400202344 in words is "three trillion, three hundred twenty billion, four hundred million, two hundred two thousand, three hundred forty-four".