3439314432 has 200 divisors, whose sum is σ = 10362122496. Its totient is φ = 1135669248.

The previous prime is 3439314419. The next prime is 3439314449. The reversal of 3439314432 is 2344139343.

3439314432 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5266618 + ... + 5267270.

Almost surely, 2^3439314432 is an apocalyptic number.

3439314432 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 3439314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181061248).

3439314432 is an abundant number, since it is smaller than the sum of its proper divisors (6922808064).

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

3439314432 is an equidigital number, since it uses as much as digits as its factorization.

3439314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3439314432 is about 58645.6684845522. The cubic root of 3439314432 is about 1509.4681740407.

The spelling of 3439314432 in words is "three billion, four hundred thirty-nine million, three hundred fourteen thousand, four hundred thirty-two".