3386686464 has 440 divisors, whose sum is σ = 12206015360. Its totient is φ = 913711104.

The previous prime is 3386686447. The next prime is 3386686477. The reversal of 3386686464 is 4646866833.

It is a super-2 number, since 2×3386686464² = 22939290410881646592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3386686464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11031399 + ... + 11031705.

It is an arithmetic number, because the mean of its divisors is an integer number (27740944).

Almost surely, 2^3386686464 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 3386686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103007680).

3386686464 is an abundant number, since it is smaller than the sum of its proper divisors (8819328896).

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

3386686464 is a wasteful number, since it uses less digits than its factorization.

3386686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 3386686464 is about 58195.2443417845. The cubic root of 3386686464 is about 1501.7293335042.

The spelling of 3386686464 in words is "three billion, three hundred eighty-six million, six hundred eighty-six thousand, four hundred sixty-four".