3346876324638 has 360 divisors, whose sum is σ = 9620503085160. Its totient is φ = 859890608640.

The previous prime is 3346876324613. The next prime is 3346876324661. The reversal of 3346876324638 is 8364236786433.

3346876324638 is a `hidden beast` number, since 3 + 3 + 468 + 76 + 32 + 46 + 38 = 666.

It is a super-2 number, since 2×3346876324638² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5643973270 + ... + 5643973862.

It is an arithmetic number, because the mean of its divisors is an integer number (26723619681).

Almost surely, 2^{3346876324638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346876324638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810251542580).

3346876324638 is an abundant number, since it is smaller than the sum of its proper divisors (6273626760522).

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

3346876324638 is a wasteful number, since it uses less digits than its factorization.

3346876324638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 725 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 63.

The spelling of 3346876324638 in words is "three trillion, three hundred forty-six billion, eight hundred seventy-six million, three hundred twenty-four thousand, six hundred thirty-eight".