339204096 has 288 divisors, whose sum is σ = 1226534400. Its totient is φ = 87736320.

The previous prime is 339204091. The next prime is 339204101. The reversal of 339204096 is 690402933.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (339204091) and next prime (339204101).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 339204096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339204091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1419145 + ... + 1419383.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^339204096 is an apocalyptic number.

339204096 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 339204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

339204096 is an abundant number, since it is smaller than the sum of its proper divisors (887330304).

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

339204096 is a wasteful number, since it uses less digits than its factorization.

339204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 339204096 is about 18417.4942921126. The cubic root of 339204096 is about 697.4081676610.

The spelling of 339204096 in words is "three hundred thirty-nine million, two hundred four thousand, ninety-six".