3643322400 has 216 divisors, whose sum is σ = 13030041024. Its totient is φ = 957734400.

The previous prime is 3643322387. The next prime is 3643322483. The reversal of 3643322400 is 42233463.

It is a happy number.

3643322400 is a `hidden beast` number, since 3 + 6 + 433 + 224 + 0 + 0 = 666.

It is a super-2 number, since 2×3643322400² = 26547596220683520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 507637 + ... + 514763.

It is an arithmetic number, because the mean of its divisors is an integer number (60324264).

Almost surely, 2^3643322400 is an apocalyptic number.

3643322400 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 3643322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515020512).

3643322400 is an abundant number, since it is smaller than the sum of its proper divisors (9386718624).

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

3643322400 is a wasteful number, since it uses less digits than its factorization.

3643322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3643322400 is about 60359.9403578234. The cubic root of 3643322400 is about 1538.7422124323.

Adding to 3643322400 its reverse (42233463), we get a palindrome (3685555863).

The spelling of 3643322400 in words is "three billion, six hundred forty-three million, three hundred twenty-two thousand, four hundred".