3439904832 has 672 divisors, whose sum is σ = 13136148480. Its totient is φ = 836075520.

The previous prime is 3439904791. The next prime is 3439904851. The reversal of 3439904832 is 2384099343.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47121948 + ... + 47122020.

It is an arithmetic number, because the mean of its divisors is an integer number (19547840).

Almost surely, 2^3439904832 is an apocalyptic number.

3439904832 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 3439904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568074240).

3439904832 is an abundant number, since it is smaller than the sum of its proper divisors (9696243648).

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

3439904832 is a wasteful number, since it uses less digits than its factorization.

3439904832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3439904832 is about 58650.7018883832. The cubic root of 3439904832 is about 1509.5545419335.

The spelling of 3439904832 in words is "three billion, four hundred thirty-nine million, nine hundred four thousand, eight hundred thirty-two".