339948000 has 576 divisors, whose sum is σ = 1471841280. Its totient is φ = 72576000.

The previous prime is 339947999. The next prime is 339948047. The reversal of 339948000 is 849933.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787965 + ... + 4788035.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^339948000 is an apocalyptic number.

339948000 is a gapful number since it is divisible by the number (30) 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 339948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

339948000 is an abundant number, since it is smaller than the sum of its proper divisors (1131893280).

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

339948000 is a wasteful number, since it uses less digits than its factorization.

339948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 339948000 is about 18437.6788126922. The cubic root of 339948000 is about 697.9176209487.

The spelling of 339948000 in words is "three hundred thirty-nine million, nine hundred forty-eight thousand".