3382466688 has 256 divisors, whose sum is σ = 10378051200. Its totient is φ = 1097349120.

The previous prime is 3382466683. The next prime is 3382466701. The reversal of 3382466688 is 8866642833.

It is a happy number.

It is a super-2 number, since 2×3382466688² = 22882161790859378688, 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 not an unprimeable number, because it can be changed into a prime (3382466683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12037108 + ... + 12037388.

Almost surely, 2^3382466688 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 3382466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189025600).

3382466688 is an abundant number, since it is smaller than the sum of its proper divisors (6995584512).

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

3382466688 is an frugal number, since it uses more digits than its factorization.

3382466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3382466688 is about 58158.9777076592. The cubic root of 3382466688 is about 1501.1053612509.

The spelling of 3382466688 in words is "three billion, three hundred eighty-two million, four hundred sixty-six thousand, six hundred eighty-eight".