339964416 has 240 divisors, whose sum is σ = 1129883040. Its totient is φ = 97320960.

The previous prime is 339964409. The next prime is 339964421. The reversal of 339964416 is 614469933.

It is a nude number because it is divisible by every one of its digits.

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, 962896 + ... + 963248.

It is an arithmetic number, because the mean of its divisors is an integer number (4707846).

Almost surely, 2^339964416 is an apocalyptic number.

339964416 is a gapful number since it is divisible by the number (36) 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 339964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564941520).

339964416 is an abundant number, since it is smaller than the sum of its proper divisors (789918624).

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

339964416 is a wasteful number, since it uses less digits than its factorization.

339964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 339964416 is about 18438.1239826616. The cubic root of 339964416 is about 697.9288548543.

The spelling of 339964416 in words is "three hundred thirty-nine million, nine hundred sixty-four thousand, four hundred sixteen".