3399434410944 has 1344 divisors, whose sum is σ = 11986394112000. Its totient is φ = 840232673280.

The previous prime is 3399434410927. The next prime is 3399434410973. The reversal of 3399434410944 is 4490144349933.

3399434410944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3399434410944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5675182357 + ... + 5675182955.

It is an arithmetic number, because the mean of its divisors is an integer number (8918448000).

Almost surely, 2^{3399434410944} 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 3399434410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993197056000).

3399434410944 is an abundant number, since it is smaller than the sum of its proper divisors (8586959701056).

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

3399434410944 is a wasteful number, since it uses less digits than its factorization.

3399434410944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 57.

The spelling of 3399434410944 in words is "three trillion, three hundred ninety-nine billion, four hundred thirty-four million, four hundred ten thousand, nine hundred forty-four".