3626828800 has 264 divisors, whose sum is σ = 10571428544. Its totient is φ = 1207664640.

The previous prime is 3626828797. The next prime is 3626828801. The reversal of 3626828800 is 88286263.

It is not an unprimeable number, because it can be changed into a prime (3626828801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6630127 + ... + 6630673.

Almost surely, 2^3626828800 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 3626828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285714272).

3626828800 is an abundant number, since it is smaller than the sum of its proper divisors (6944599744).

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

3626828800 is a wasteful number, since it uses less digits than its factorization.

3626828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 3626828800 is about 60223.1583363078. The cubic root of 3626828800 is about 1536.4166982871.

The spelling of 3626828800 in words is "three billion, six hundred twenty-six million, eight hundred twenty-eight thousand, eight hundred".