3564072 has 48 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 1166496.

The previous prime is 3564061. The next prime is 3564073. The reversal of 3564072 is 2704653.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3564073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^3564072 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 3564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

3564072 is an abundant number, since it is smaller than the sum of its proper divisors (6263928).

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

3564072 is a wasteful number, since it uses less digits than its factorization.

3564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3564072 is about 1887.8749958617. The cubic root of 3564072 is about 152.7503296977.

It can be divided in two parts, 356407 and 2, that added together give a square (356409 = 597²).

The spelling of 3564072 in words is "three million, five hundred sixty-four thousand, seventy-two".