3399960960 has 512 divisors, whose sum is σ = 13583462400. Its totient is φ = 796262400.

The previous prime is 3399960953. The next prime is 3399960997. The reversal of 3399960960 is 690699933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3399960897 and 3399960906.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5892192 + ... + 5892768.

It is an arithmetic number, because the mean of its divisors is an integer number (26530200).

Almost surely, 2^3399960960 is an apocalyptic number.

3399960960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791731200).

3399960960 is an abundant number, since it is smaller than the sum of its proper divisors (10183501440).

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

3399960960 is a wasteful number, since it uses less digits than its factorization.

3399960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 3399960960 is about 58309.1841822538. The cubic root of 3399960960 is about 1503.6888408656.

The spelling of 3399960960 in words is "three billion, three hundred ninety-nine million, nine hundred sixty thousand, nine hundred sixty".