3561408 has 84 divisors (see below), whose sum is σ = 10632440. Its totient is φ = 1181952.

The previous prime is 3561407. The next prime is 3561413. The reversal of 3561408 is 8041653.

3561408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15438 + ... + 15666.

Almost surely, 2^3561408 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 3561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316220).

3561408 is an abundant number, since it is smaller than the sum of its proper divisors (7071032).

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

3561408 is an equidigital number, since it uses as much as digits as its factorization.

3561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3561408 is about 1887.1693087797. The cubic root of 3561408 is about 152.7122619756.

It can be divided in two parts, 3561 and 408, that added together give a square (3969 = 63²).

The spelling of 3561408 in words is "three million, five hundred sixty-one thousand, four hundred eight".