339948672 has 256 divisors, whose sum is σ = 1101600000. Its totient is φ = 92725248.

The previous prime is 339948611. The next prime is 339948689. The reversal of 339948672 is 276849933.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819604 + ... + 3819692.

It is an arithmetic number, because the mean of its divisors is an integer number (4303125).

Almost surely, 2^339948672 is an apocalyptic number.

339948672 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 339948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800000).

339948672 is an abundant number, since it is smaller than the sum of its proper divisors (761651328).

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

339948672 is an equidigital number, since it uses as much as digits as its factorization.

339948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 339948672 is about 18437.6970362353. The cubic root of 339948672 is about 697.9180808233.

The spelling of 339948672 in words is "three hundred thirty-nine million, nine hundred forty-eight thousand, six hundred seventy-two".