3439138375872 has 168 divisors, whose sum is σ = 9897155923200. Its totient is φ = 1141793349120.

The previous prime is 3439138375861. The next prime is 3439138375889. The reversal of 3439138375872 is 2785738319343.

3439138375872 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 13 + 8 + 37 + 587 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 250604403 + ... + 250618125.

It is an arithmetic number, because the mean of its divisors is an integer number (58911642400).

Almost surely, 2^{3439138375872} is an apocalyptic number.

3439138375872 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 3439138375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948577961600).

3439138375872 is an abundant number, since it is smaller than the sum of its proper divisors (6458017547328).

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

3439138375872 is a wasteful number, since it uses less digits than its factorization.

3439138375872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15438 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 3439138375872 in words is "three trillion, four hundred thirty-nine billion, one hundred thirty-eight million, three hundred seventy-five thousand, eight hundred seventy-two".