3470707968 has 288 divisors, whose sum is σ = 11595661056. Its totient is φ = 897122304.

The previous prime is 3470707967. The next prime is 3470707987. The reversal of 3470707968 is 8697070743.

3470707968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3470707968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3470707967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703596 + ... + 3704532.

It is an arithmetic number, because the mean of its divisors is an integer number (40262712).

Almost surely, 2^3470707968 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 3470707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797830528).

3470707968 is an abundant number, since it is smaller than the sum of its proper divisors (8124953088).

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

3470707968 is a wasteful number, since it uses less digits than its factorization.

3470707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 3470707968 is about 58912.7148245606. The cubic root of 3470707968 is about 1514.0470020838.

The spelling of 3470707968 in words is "three billion, four hundred seventy million, seven hundred seven thousand, nine hundred sixty-eight".