339125472 has 144 divisors (see below), whose sum is σ = 1124978400. Its totient is φ = 96864768.

The previous prime is 339125419. The next prime is 339125491. The reversal of 339125472 is 274521933.

339125472 is a `hidden beast` number, since 339 + 1 + 254 + 72 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97068 + ... + 100500.

It is an arithmetic number, because the mean of its divisors is an integer number (7812350).

Almost surely, 2^339125472 is an apocalyptic number.

339125472 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 339125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562489200).

339125472 is an abundant number, since it is smaller than the sum of its proper divisors (785852928).

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

339125472 is a wasteful number, since it uses less digits than its factorization.

339125472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3445 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 339125472 is about 18415.3596760965. The cubic root of 339125472 is about 697.3542794979.

The spelling of 339125472 in words is "three hundred thirty-nine million, one hundred twenty-five thousand, four hundred seventy-two".