339200016 has 160 divisors (see below), whose sum is σ = 953558016. Its totient is φ = 103680000.

The previous prime is 339199981. The next prime is 339200041. The reversal of 339200016 is 610002933.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 3358366 + ... + 3358466.

Almost surely, 2^339200016 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 339200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476779008).

339200016 is an abundant number, since it is smaller than the sum of its proper divisors (614358000).

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

339200016 is a wasteful number, since it uses less digits than its factorization.

339200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 339200016 is about 18417.3835275264. The cubic root of 339200016 is about 697.4053714715.

Adding to 339200016 its reverse (610002933), we get a palindrome (949202949).

The spelling of 339200016 in words is "three hundred thirty-nine million, two hundred thousand, sixteen".