339893136 has 120 divisors (see below), whose sum is σ = 1049798880. Its totient is φ = 101798400.

The previous prime is 339893129. The next prime is 339893161. The reversal of 339893136 is 631398933.

It is a super-4 number, since 4×339893136⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 339893091 and 339893100.

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 23 ways as a sum of consecutive naturals, for example, 139771 + ... + 142181.

It is an arithmetic number, because the mean of its divisors is an integer number (8748324).

Almost surely, 2^339893136 is an apocalyptic number.

339893136 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 339893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524899440).

339893136 is an abundant number, since it is smaller than the sum of its proper divisors (709905744).

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

339893136 is a wasteful number, since it uses less digits than its factorization.

339893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2516 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 339893136 is about 18436.1909297989. The cubic root of 339893136 is about 697.8800734292.

The spelling of 339893136 in words is "three hundred thirty-nine million, eight hundred ninety-three thousand, one hundred thirty-six".