3325665600 has 420 divisors, whose sum is σ = 12439156224. Its totient is φ = 871326720.

The previous prime is 3325665587. The next prime is 3325665617. The reversal of 3325665600 is 65665233.

3325665600 is a `hidden beast` number, since 3 + 32 + 5 + 66 + 560 + 0 = 666.

It is a super-2 number, since 2×3325665600² = 22120103366046720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8683009 + ... + 8683391.

Almost surely, 2^3325665600 is an apocalyptic number.

3325665600 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 3325665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219578112).

3325665600 is an abundant number, since it is smaller than the sum of its proper divisors (9113490624).

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

3325665600 is a wasteful number, since it uses less digits than its factorization.

3325665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3325665600 is about 57668.5841685055. The cubic root of 3325665600 is about 1492.6552955754.

The spelling of 3325665600 in words is "three billion, three hundred twenty-five million, six hundred sixty-five thousand, six hundred".