3431394048 has 72 divisors (see below), whose sum is σ = 9326919168. Its totient is φ = 1119450112.

The previous prime is 3431394013. The next prime is 3431394103. The reversal of 3431394048 is 8404931343.

It is a super-3 number, since 3×3431394048³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3431393997 and 3431394015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11436 + ... + 83627.

It is an arithmetic number, because the mean of its divisors is an integer number (129540544).

Almost surely, 2^3431394048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663459584).

3431394048 is an abundant number, since it is smaller than the sum of its proper divisors (5895525120).

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

3431394048 is an equidigital number, since it uses as much as digits as its factorization.

3431394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95129 (or 95115 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3431394048 is about 58578.1021201609. The cubic root of 3431394048 is about 1508.3085672792.

The spelling of 3431394048 in words is "three billion, four hundred thirty-one million, three hundred ninety-four thousand, forty-eight".