3394336320 has 896 divisors, whose sum is σ = 14045184000. Its totient is φ = 766402560.

The previous prime is 3394336313. The next prime is 3394336327. The reversal of 3394336320 is 236334933.

It is an interprime number because it is at equal distance from previous prime (3394336313) and next prime (3394336327).

It is a super-2 number, since 2×3394336320² = 23043038106542284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3394336327) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 109494705 + ... + 109494735.

Almost surely, 2^3394336320 is an apocalyptic number.

3394336320 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 3394336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592000).

3394336320 is an abundant number, since it is smaller than the sum of its proper divisors (10650847680).

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

3394336320 is a wasteful number, since it uses less digits than its factorization.

3394336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 3394336320 is about 58260.9330512308. The cubic root of 3394336320 is about 1502.8591865720.

The spelling of 3394336320 in words is "three billion, three hundred ninety-four million, three hundred thirty-six thousand, three hundred twenty".