3405564 has 60 divisors (see below), whose sum is σ = 9310224. Its totient is φ = 1083456.

The previous prime is 3405547. The next prime is 3405601. The reversal of 3405564 is 4655043.

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 19 ways as a sum of consecutive naturals, for example, 7224 + ... + 7680.

Almost surely, 2^3405564 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 3405564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655112).

3405564 is an abundant number, since it is smaller than the sum of its proper divisors (5904660).

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

3405564 is a wasteful number, since it uses less digits than its factorization.

3405564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3405564 is about 1845.4170260405. The cubic root of 3405564 is about 150.4514399833.

It can be divided in two parts, 3405 and 564, that added together give a square (3969 = 63²).

The spelling of 3405564 in words is "three million, four hundred five thousand, five hundred sixty-four".