3413687264 has 72 divisors (see below), whose sum is σ = 7479554040. Its totient is φ = 1524545280.

The previous prime is 3413687257. The next prime is 3413687279. The reversal of 3413687264 is 4627863143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395507 + ... + 404045.

It is an arithmetic number, because the mean of its divisors is an integer number (103882695).

Almost surely, 2^3413687264 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 3413687264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739777020).

3413687264 is an abundant number, since it is smaller than the sum of its proper divisors (4065866776).

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

3413687264 is a wasteful number, since it uses less digits than its factorization.

3413687264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8585 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 3413687264 is about 58426.7683857322. The cubic root of 3413687264 is about 1505.7096852718.

The spelling of 3413687264 in words is "three billion, four hundred thirteen million, six hundred eighty-seven thousand, two hundred sixty-four".