3561825600 has 504 divisors, whose sum is σ = 13364382720. Its totient is φ = 898560000.

The previous prime is 3561825583. The next prime is 3561825607. The reversal of 3561825600 is 65281653.

3561825600 is a `hidden beast` number, since 35 + 6 + 18 + 2 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561825607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35265550 + ... + 35265650.

Almost surely, 2^3561825600 is an apocalyptic number.

3561825600 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 3561825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682191360).

3561825600 is an abundant number, since it is smaller than the sum of its proper divisors (9802557120).

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

3561825600 is a wasteful number, since it uses less digits than its factorization.

3561825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3561825600 is about 59681.0321626562. The cubic root of 3561825600 is about 1527.1823060259.

The spelling of 3561825600 in words is "three billion, five hundred sixty-one million, eight hundred twenty-five thousand, six hundred".