339404832 has 144 divisors (see below), whose sum is σ = 1046387160. Its totient is φ = 103735296.

The previous prime is 339404827. The next prime is 339404839. The reversal of 339404832 is 238404933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 108243216 + 231161616 = 10404^2 + 15204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (339404839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006968 + ... + 1007304.

Almost surely, 2^339404832 is an apocalyptic number.

339404832 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 339404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523193580).

339404832 is an abundant number, since it is smaller than the sum of its proper divisors (706982328).

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

339404832 is a wasteful number, since it uses less digits than its factorization.

339404832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 339404832 is about 18422.9430873571. The cubic root of 339404832 is about 697.5457125010.

The spelling of 339404832 in words is "three hundred thirty-nine million, four hundred four thousand, eight hundred thirty-two".