3395431872 has 210 divisors, whose sum is σ = 11709285192. Its totient is φ = 970050816.

The previous prime is 3395431861. The next prime is 3395431883. The reversal of 3395431872 is 2781345933.

3395431872 is a `hidden beast` number, since 3 + 39 + 543 + 1 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3395431861) and next prime (3395431883).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 247333 + ... + 260699.

Almost surely, 2^3395431872 is an apocalyptic number.

3395431872 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 3395431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854642596).

3395431872 is an abundant number, since it is smaller than the sum of its proper divisors (8313853320).

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

3395431872 is a wasteful number, since it uses less digits than its factorization.

3395431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13379 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3395431872 is about 58270.3344078271. The cubic root of 3395431872 is about 1503.0208562012.

The spelling of 3395431872 in words is "three billion, three hundred ninety-five million, four hundred thirty-one thousand, eight hundred seventy-two".