3633868800 has 234 divisors, whose sum is σ = 13019037512. Its totient is φ = 968785920.

The previous prime is 3633868793. The next prime is 3633868829. The reversal of 3633868800 is 88683363.

It is a happy number.

3633868800 is a `hidden beast` number, since 3 + 633 + 8 + 6 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×3633868800² = 26410004911226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919629 + ... + 923571.

Almost surely, 2^3633868800 is an apocalyptic number.

3633868800 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 3633868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509518756).

3633868800 is an abundant number, since it is smaller than the sum of its proper divisors (9385168712).

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

3633868800 is a wasteful number, since it uses less digits than its factorization.

3633868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3633868800 is about 60281.5792759281. The cubic root of 3633868800 is about 1537.4101633014.

The spelling of 3633868800 in words is "three billion, six hundred thirty-three million, eight hundred sixty-eight thousand, eight hundred".