3399268320 has 576 divisors, whose sum is σ = 14265538560. Its totient is φ = 719437824.

The previous prime is 3399268319. The next prime is 3399268393. The reversal of 3399268320 is 238629933.

It is a super-2 number, since 2×3399268320² = 23110050222711244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 14222761 + ... + 14222999.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^3399268320 is an apocalyptic number.

3399268320 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 3399268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

3399268320 is an abundant number, since it is smaller than the sum of its proper divisors (10866270240).

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

3399268320 is a wasteful number, since it uses less digits than its factorization.

3399268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3399268320 is about 58303.2445066310. The cubic root of 3399268320 is about 1503.5867234408.

The spelling of 3399268320 in words is "three billion, three hundred ninety-nine million, two hundred sixty-eight thousand, three hundred twenty".