350007664 has 40 divisors (see below), whose sum is σ = 717888080. Its totient is φ = 164851200.

The previous prime is 350007661. The next prime is 350007709. The reversal of 350007664 is 466700053.

350007664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350007661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51844 + ... + 58204.

It is an arithmetic number, because the mean of its divisors is an integer number (17947202).

Almost surely, 2^350007664 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 350007664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358944040).

350007664 is an abundant number, since it is smaller than the sum of its proper divisors (367880416).

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

350007664 is a wasteful number, since it uses less digits than its factorization.

350007664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 350007664 is about 18708.4917617642. The cubic root of 350007664 is about 704.7350170258.

The spelling of 350007664 in words is "three hundred fifty million, seven thousand, six hundred sixty-four".