3349879076406 has 32 divisors (see below), whose sum is σ = 7074908634240. Its totient is φ = 1054476805824.

The previous prime is 3349879076359. The next prime is 3349879076407. The reversal of 3349879076406 is 6046709789433.

It is a happy number.

It is a super-2 number, since 2×3349879076406² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349879076407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46905060 + ... + 46976423.

It is an arithmetic number, because the mean of its divisors is an integer number (221090894820).

Almost surely, 2^{3349879076406} is an apocalyptic number.

3349879076406 is an abundant number, since it is smaller than the sum of its proper divisors (3725029557834).

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

3349879076406 is a wasteful number, since it uses less digits than its factorization.

3349879076406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93881820.

The product of its (nonzero) digits is 164602368, while the sum is 66.

The spelling of 3349879076406 in words is "three trillion, three hundred forty-nine billion, eight hundred seventy-nine million, seventy-six thousand, four hundred six".