3561600 has 192 divisors, whose sum is σ = 13659840. Its totient is φ = 798720.

The previous prime is 3561581. The next prime is 3561611. The reversal of 3561600 is 61653.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67174 + ... + 67226.

It is an arithmetic number, because the mean of its divisors is an integer number (71145).

Almost surely, 2^3561600 is an apocalyptic number.

3561600 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 3561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920).

3561600 is an abundant number, since it is smaller than the sum of its proper divisors (10098240).

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

3561600 is a wasteful number, since it uses less digits than its factorization.

3561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3561600 is about 1887.2201779337. The cubic root of 3561600 is about 152.7150062298.

The spelling of 3561600 in words is "three million, five hundred sixty-one thousand, six hundred".