3621452800 has 198 divisors, whose sum is σ = 10446037512. Its totient is φ = 1241210880.

The previous prime is 3621452717. The next prime is 3621452803. The reversal of 3621452800 is 82541263.

It is a super-3 number, since 3×3621452800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3621452803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1252957 + ... + 1255843.

Almost surely, 2^3621452800 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 3621452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223018756).

3621452800 is an abundant number, since it is smaller than the sum of its proper divisors (6824584712).

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

3621452800 is a wasteful number, since it uses less digits than its factorization.

3621452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3621452800 is about 60178.5077914034. The cubic root of 3621452800 is about 1535.6571862259.

The spelling of 3621452800 in words is "three billion, six hundred twenty-one million, four hundred fifty-two thousand, eight hundred".