3609324400 has 240 divisors, whose sum is σ = 10168733088. Its totient is φ = 1216512000.

The previous prime is 3609324391. The next prime is 3609324401. The reversal of 3609324400 is 44239063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609324401) 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 47 ways as a sum of consecutive naturals, for example, 5460070 + ... + 5460730.

Almost surely, 2^3609324400 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 3609324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084366544).

3609324400 is an abundant number, since it is smaller than the sum of its proper divisors (6559408688).

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

3609324400 is a wasteful number, since it uses less digits than its factorization.

3609324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 3609324400 is about 60077.6530833221. The cubic root of 3609324400 is about 1533.9409417181.

The spelling of 3609324400 in words is "three billion, six hundred nine million, three hundred twenty-four thousand, four hundred".