3564090000 has 225 divisors, whose sum is σ = 12527086143. Its totient is φ = 945648000.

The previous prime is 3564089981. The next prime is 3564090037. The reversal of 3564090000 is 904653.

It is a happy number.

The square root of 3564090000 is 59700.

It is a perfect power (a square), and thus also a powerful number.

3564090000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 279424656 + 3284665344 = 16716^2 + 57312^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17909901 + ... + 17910099.

Almost surely, 2^3564090000 is an apocalyptic number.

3564090000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3564090000 is the 59700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564090000

3564090000 is an abundant number, since it is smaller than the sum of its proper divisors (8962996143).

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

3564090000 is an equidigital number, since it uses as much as digits as its factorization.

3564090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 3564090000 is about 1527.5058684749.

Adding to 3564090000 its reverse (904653), we get a palindrome (3564994653).

The spelling of 3564090000 in words is "three billion, five hundred sixty-four million, ninety thousand".