3349013926400 has 480 divisors, whose sum is σ = 9023926538880. Its totient is φ = 1226822123520.

The previous prime is 3349013926333. The next prime is 3349013926429. The reversal of 3349013926400 is 46293109433.

It is a happy number.

It is a super-2 number, since 2×3349013926400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3359090702 + ... + 3359091698.

It is an arithmetic number, because the mean of its divisors is an integer number (18799846956).

Almost surely, 2^{3349013926400} 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 3349013926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511963269440).

3349013926400 is an abundant number, since it is smaller than the sum of its proper divisors (5674912612480).

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

3349013926400 is a wasteful number, since it uses less digits than its factorization.

3349013926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 3349013926400 in words is "three trillion, three hundred forty-nine billion, thirteen million, nine hundred twenty-six thousand, four hundred".