339347232 has 240 divisors, whose sum is σ = 1163574720. Its totient is φ = 95012352.

The previous prime is 339347213. The next prime is 339347273. The reversal of 339347232 is 232743933.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1070338 + ... + 1070654.

It is an arithmetic number, because the mean of its divisors is an integer number (4848228).

Almost surely, 2^339347232 is an apocalyptic number.

339347232 is a gapful number since it is divisible by the number (32) 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 339347232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581787360).

339347232 is an abundant number, since it is smaller than the sum of its proper divisors (824227488).

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

339347232 is a wasteful number, since it uses less digits than its factorization.

339347232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 339347232 is about 18421.3797528850. The cubic root of 339347232 is about 697.5062503776.

It can be divided in two parts, 3393 and 47232, that added together give a 4-th power (50625 = 15⁴).

The spelling of 339347232 in words is "three hundred thirty-nine million, three hundred forty-seven thousand, two hundred thirty-two".