3621824800 has 144 divisors (see below), whose sum is σ = 9747313632. Its totient is φ = 1303142400.

The previous prime is 3621824779. The next prime is 3621824803. The reversal of 3621824800 is 84281263.

It is a super-2 number, since 2×3621824800² = 26235229763790080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3621824803) 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, 851479 + ... + 855721.

It is an arithmetic number, because the mean of its divisors is an integer number (67689678).

Almost surely, 2^3621824800 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 3621824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873656816).

3621824800 is an abundant number, since it is smaller than the sum of its proper divisors (6125488832).

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

3621824800 is a wasteful number, since it uses less digits than its factorization.

3621824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3621824800 is about 60181.5985164901. The cubic root of 3621824800 is about 1535.7097659451.

The spelling of 3621824800 in words is "three billion, six hundred twenty-one million, eight hundred twenty-four thousand, eight hundred".