3399916416 has 128 divisors (see below), whose sum is σ = 9753354240. Its totient is φ = 1043159040.

The previous prime is 3399916397. The next prime is 3399916493. The reversal of 3399916416 is 6146199933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310561 + ... + 2312031.

It is an arithmetic number, because the mean of its divisors is an integer number (76198080).

Almost surely, 2^3399916416 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 3399916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876677120).

3399916416 is an abundant number, since it is smaller than the sum of its proper divisors (6353437824).

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

3399916416 is a wasteful number, since it uses less digits than its factorization.

3399916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its digits is 944784, while the sum is 51.

The square root of 3399916416 is about 58308.8022171610. The cubic root of 3399916416 is about 1503.6822740639.

The spelling of 3399916416 in words is "three billion, three hundred ninety-nine million, nine hundred sixteen thousand, four hundred sixteen".