3839459968512 has 1920 divisors, whose sum is σ = 14688774144000. Its totient is φ = 995515121664.

The previous prime is 3839459968499. The next prime is 3839459968523. The reversal of 3839459968512 is 2158699549383.

It is a happy number.

3839459968512 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 45 + 9 + 9 + 68 + 512 = 666.

3839459968512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30231968193 + ... + 30231968319.

It is an arithmetic number, because the mean of its divisors is an integer number (7650403200).

Almost surely, 2^{3839459968512} is an apocalyptic number.

3839459968512 is a gapful number since it is divisible by the number (32) 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 3839459968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344387072000).

3839459968512 is an abundant number, since it is smaller than the sum of its proper divisors (10849314175488).

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

3839459968512 is an equidigital number, since it uses as much as digits as its factorization.

3839459968512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 187 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 3839459968512 in words is "three trillion, eight hundred thirty-nine billion, four hundred fifty-nine million, nine hundred sixty-eight thousand, five hundred twelve".