339005952 has 160 divisors (see below), whose sum is σ = 1016452800. Its totient is φ = 111550464.

The previous prime is 339005929. The next prime is 339005977. The reversal of 339005952 is 259500933.

It is a super-2 number, since 2×339005952² = 229850070982852608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893799 + ... + 1893977.

It is an arithmetic number, because the mean of its divisors is an integer number (6352830).

Almost surely, 2^339005952 is an apocalyptic number.

339005952 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 339005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508226400).

339005952 is an abundant number, since it is smaller than the sum of its proper divisors (677446848).

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

339005952 is a wasteful number, since it uses less digits than its factorization.

339005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 339005952 is about 18412.1142729454. The cubic root of 339005952 is about 697.2723456378.

The spelling of 339005952 in words is "three hundred thirty-nine million, five thousand, nine hundred fifty-two".