3564080 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1250304.

The previous prime is 3564073. The next prime is 3564097. The reversal of 3564080 is 804653.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 23846 + ... + 23994.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3564080 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 3564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3564080 is an abundant number, since it is smaller than the sum of its proper divisors (5810320).

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

3564080 is a wasteful number, since it uses less digits than its factorization.

3564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3564080 is about 1887.8771146449. The cubic root of 3564080 is about 152.7504439866.

The spelling of 3564080 in words is "three million, five hundred sixty-four thousand, eighty".