3386866560 has 512 divisors, whose sum is σ = 13912473600. Its totient is φ = 680140800.

The previous prime is 3386866523. The next prime is 3386866573. The reversal of 3386866560 is 656686833.

It is a super-2 number, since 2×3386866560² = 22941730190492467200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582671 + ... + 4583409.

It is an arithmetic number, because the mean of its divisors is an integer number (27172800).

Almost surely, 2^3386866560 is an apocalyptic number.

3386866560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956236800).

3386866560 is an abundant number, since it is smaller than the sum of its proper divisors (10525607040).

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

3386866560 is a wasteful number, since it uses less digits than its factorization.

3386866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 3386866560 is about 58196.7916641459. The cubic root of 3386866560 is about 1501.7559525073.

The spelling of 3386866560 in words is "three billion, three hundred eighty-six million, eight hundred sixty-six thousand, five hundred sixty".