3561984 has 60 divisors (see below), whose sum is σ = 10293426. Its totient is φ = 1185792.

The previous prime is 3561977. The next prime is 3561997. The reversal of 3561984 is 4891653.

3561984 is a `hidden beast` number, since 3 + 561 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 57600 = 1872^2 + 240^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4222 + ... + 4994.

Almost surely, 2^3561984 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 3561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146713).

3561984 is an abundant number, since it is smaller than the sum of its proper divisors (6731442).

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

3561984 is an equidigital number, since it uses as much as digits as its factorization.

3561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 778 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3561984 is about 1887.3219121284. The cubic root of 3561984 is about 152.7204944425.

The spelling of 3561984 in words is "three million, five hundred sixty-one thousand, nine hundred eighty-four".