3561624 has 64 divisors (see below), whose sum is σ = 10800000. Its totient is φ = 1078560.

The previous prime is 3561611. The next prime is 3561631. The reversal of 3561624 is 4261653.

3561624 is a `hidden beast` number, since 35 + 6 + 1 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

Almost surely, 2^3561624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400000).

3561624 is an abundant number, since it is smaller than the sum of its proper divisors (7238376).

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

3561624 is a wasteful number, since it uses less digits than its factorization.

3561624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3561624 is about 1887.2265364815. The cubic root of 3561624 is about 152.7153492547.

The spelling of 3561624 in words is "three million, five hundred sixty-one thousand, six hundred twenty-four".