3568730400 has 180 divisors, whose sum is σ = 13014702162. Its totient is φ = 951644160.

The previous prime is 3568730359. The next prime is 3568730413. The reversal of 3568730400 is 40378653.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3330213264 + 238517136 = 57708^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37264 + ... + 92336.

Almost surely, 2^3568730400 is an apocalyptic number.

3568730400 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 3568730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507351081).

3568730400 is an abundant number, since it is smaller than the sum of its proper divisors (9445971762).

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

3568730400 is a wasteful number, since it uses less digits than its factorization.

3568730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55105 (or 55083 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3568730400 is about 59738.8516796230. The cubic root of 3568730400 is about 1528.1685120660.

The spelling of 3568730400 in words is "three billion, five hundred sixty-eight million, seven hundred thirty thousand, four hundred".