3609230400 has 252 divisors, whose sum is σ = 13304603312. Its totient is φ = 962357760.

The previous prime is 3609230393. The next prime is 3609230431. The reversal of 3609230400 is 40329063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384159 + ... + 393441.

Almost surely, 2^3609230400 is an apocalyptic number.

3609230400 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 3609230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652301656).

3609230400 is an abundant number, since it is smaller than the sum of its proper divisors (9695372912).

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

3609230400 is an equidigital number, since it uses as much as digits as its factorization.

3609230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3609230400 is about 60076.8707573888. The cubic root of 3609230400 is about 1533.9276251262.

Adding to 3609230400 its reverse (40329063), we get a palindrome (3649559463).

The spelling of 3609230400 in words is "three billion, six hundred nine million, two hundred thirty thousand, four hundred".