3339239904000 has 4536 divisors, whose sum is σ = 16965176338656. Its totient is φ = 640493568000.

The previous prime is 3339239903971. The next prime is 3339239904017. The reversal of 3339239904000 is 4099329333.

3339239904000 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 239 + 9 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×3339239904000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 256864607994 + ... + 256864608006.

Almost surely, 2^{3339239904000} is an apocalyptic number.

3339239904000 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 3339239904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482588169328).

3339239904000 is an abundant number, since it is smaller than the sum of its proper divisors (13625936434656).

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

3339239904000 is an equidigital number, since it uses as much as digits as its factorization.

3339239904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 3339239904000 in words is "three trillion, three hundred thirty-nine billion, two hundred thirty-nine million, nine hundred four thousand".