3390429881344 has 99 divisors (see below), whose sum is σ = 7451126812843. Its totient is φ = 1540809881600.

The previous prime is 3390429881329. The next prime is 3390429881353. The reversal of 3390429881344 is 4431889240933.

The square root of 3390429881344 is 1841312.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×3390429881344² (a number of 26 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 648139209 + ... + 648144439.

Almost surely, 2^{3390429881344} is an apocalyptic number.

3390429881344 is the 1841312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390429881344

3390429881344 is an abundant number, since it is smaller than the sum of its proper divisors (4060696931499).

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

3390429881344 is an frugal number, since it uses more digits than its factorization.

3390429881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 3390429881344 in words is "three trillion, three hundred ninety billion, four hundred twenty-nine million, eight hundred eighty-one thousand, three hundred forty-four".