339978400 has 72 divisors (see below), whose sum is σ = 873694080. Its totient is φ = 128828160.

The previous prime is 339978349. The next prime is 339978407. The reversal of 339978400 is 4879933.

It is not an unprimeable number, because it can be changed into a prime (339978407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4017 + ... + 26383.

It is an arithmetic number, because the mean of its divisors is an integer number (12134640).

Almost surely, 2^339978400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436847040).

339978400 is an abundant number, since it is smaller than the sum of its proper divisors (533715680).

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

339978400 is a wasteful number, since it uses less digits than its factorization.

339978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22406 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 339978400 is about 18438.5031930469. The cubic root of 339978400 is about 697.9384241924.

The spelling of 339978400 in words is "three hundred thirty-nine million, nine hundred seventy-eight thousand, four hundred".