3439315968 has 176 divisors, whose sum is σ = 10590424704. Its totient is φ = 980746240.

The previous prime is 3439315949. The next prime is 3439315981. The reversal of 3439315968 is 8695139343.

It is a happy number.

3439315968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3439315968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571471 + ... + 577457.

Almost surely, 2^3439315968 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 3439315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295212352).

3439315968 is an abundant number, since it is smaller than the sum of its proper divisors (7151108736).

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

3439315968 is a wasteful number, since it uses less digits than its factorization.

3439315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 6020 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 3439315968 is about 58645.6815801471. The cubic root of 3439315968 is about 1509.4683987505.

The spelling of 3439315968 in words is "three billion, four hundred thirty-nine million, three hundred fifteen thousand, nine hundred sixty-eight".