3430664000 has 56 divisors (see below), whose sum is σ = 8496059208. Its totient is φ = 1372262400.

The previous prime is 3430663993. The next prime is 3430664057. The reversal of 3430664000 is 4660343.

3430664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114746944 + 3315917056 = 10712^2 + 57584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206417 + ... + 222416.

It is an arithmetic number, because the mean of its divisors is an integer number (151715343).

Almost surely, 2^3430664000 is an apocalyptic number.

It is an amenable number.

3430664000 is an abundant number, since it is smaller than the sum of its proper divisors (5065395208).

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

3430664000 is an equidigital number, since it uses as much as digits as its factorization.

3430664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428860 (or 428840 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3430664000 is about 58571.8703816090. The cubic root of 3430664000 is about 1508.2015927048.

The spelling of 3430664000 in words is "three billion, four hundred thirty million, six hundred sixty-four thousand".