339947712 has 224 divisors, whose sum is σ = 1108049600. Its totient is φ = 101523456.

The previous prime is 339947711. The next prime is 339947761. The reversal of 339947712 is 217749933.

It is not an unprimeable number, because it can be changed into a prime (339947711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830964 + ... + 831372.

It is an arithmetic number, because the mean of its divisors is an integer number (4946650).

Almost surely, 2^339947712 is an apocalyptic number.

339947712 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 339947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554024800).

339947712 is an abundant number, since it is smaller than the sum of its proper divisors (768101888).

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

339947712 is a wasteful number, since it uses less digits than its factorization.

339947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 339947712 is about 18437.6710025968. The cubic root of 339947712 is about 697.9174238594.

The spelling of 339947712 in words is "three hundred thirty-nine million, nine hundred forty-seven thousand, seven hundred twelve".