3364662560 has 96 divisors (see below), whose sum is σ = 9139495680. Its totient is φ = 1146627072.

The previous prime is 3364662529. The next prime is 3364662569. The reversal of 3364662560 is 652664633.

It is a super-2 number, since 2×3364662560² = 22641908285331507200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364662569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178046 + ... + 196034.

It is an arithmetic number, because the mean of its divisors is an integer number (95203080).

Almost surely, 2^3364662560 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 3364662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569747840).

3364662560 is an abundant number, since it is smaller than the sum of its proper divisors (5774833120).

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

3364662560 is a wasteful number, since it uses less digits than its factorization.

3364662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18178 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The square root of 3364662560 is about 58005.7114429260. The cubic root of 3364662560 is about 1498.4669611357.

The spelling of 3364662560 in words is "three billion, three hundred sixty-four million, six hundred sixty-two thousand, five hundred sixty".