3389838336 has 308 divisors, whose sum is σ = 10739380800. Its totient is φ = 1065996288.

The previous prime is 3389838323. The next prime is 3389838337. The reversal of 3389838336 is 6338389833.

It is a super-2 number, since 2×3389838336² = 22982007888430497792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389838337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14183305 + ... + 14183543.

Almost surely, 2^3389838336 is an apocalyptic number.

3389838336 is a gapful number since it is divisible by the number (36) 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 3389838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369690400).

3389838336 is an abundant number, since it is smaller than the sum of its proper divisors (7349542464).

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

3389838336 is an equidigital number, since it uses as much as digits as its factorization.

3389838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3389838336 is about 58222.3181950015. The cubic root of 3389838336 is about 1502.1950582460.

The spelling of 3389838336 in words is "three billion, three hundred eighty-nine million, eight hundred thirty-eight thousand, three hundred thirty-six".