3407960064 has 96 divisors (see below), whose sum is σ = 9146133360. Its totient is φ = 1128431616.

The previous prime is 3407960009. The next prime is 3407960069. The reversal of 3407960064 is 4600697043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3407960064² = 23228383595637768192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407960069) 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, 962842 + ... + 966374.

Almost surely, 2^3407960064 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 3407960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573066680).

3407960064 is an abundant number, since it is smaller than the sum of its proper divisors (5738173296).

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

3407960064 is a wasteful number, since it uses less digits than its factorization.

3407960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3407960064 is about 58377.7360300997. The cubic root of 3407960064 is about 1504.8671625157.

The spelling of 3407960064 in words is "three billion, four hundred seven million, nine hundred sixty thousand, sixty-four".