3253561600 has 243 divisors, whose sum is σ = 8698752489. Its totient is φ = 1204684800.

The previous prime is 3253561583. The next prime is 3253561627. The reversal of 3253561600 is 61653523.

The square root of 3253561600 is 57040.

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

It can be written as a sum of positive squares in only one way, i.e., 1171282176 + 2082279424 = 34224^2 + 45632^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

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 26 ways as a sum of consecutive naturals, for example, 104953585 + ... + 104953615.

Almost surely, 2^3253561600 is an apocalyptic number.

3253561600 is the 57040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253561600

3253561600 is an abundant number, since it is smaller than the sum of its proper divisors (5445190889).

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

3253561600 is an equidigital number, since it uses as much as digits as its factorization.

3253561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The cubic root of 3253561600 is about 1481.7889251811.

The spelling of 3253561600 in words is "three billion, two hundred fifty-three million, five hundred sixty-one thousand, six hundred".