3325636800 has 252 divisors, whose sum is σ = 11903472256. Its totient is φ = 880588800.

The previous prime is 3325636759. The next prime is 3325636807. The reversal of 3325636800 is 86365233.

It is a happy number.

3325636800 is a `hidden beast` number, since 3 + 32 + 563 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×3325636800² = 22119720251028480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325636807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2260065 + ... + 2261535.

Almost surely, 2^3325636800 is an apocalyptic number.

3325636800 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 3325636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951736128).

3325636800 is an abundant number, since it is smaller than the sum of its proper divisors (8577835456).

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

3325636800 is a wasteful number, since it uses less digits than its factorization.

3325636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3325636800 is about 57668.3344652852. The cubic root of 3325636800 is about 1492.6509868042.

The spelling of 3325636800 in words is "three billion, three hundred twenty-five million, six hundred thirty-six thousand, eight hundred".