3672576 has 60 divisors (see below), whose sum is σ = 10612602. Its totient is φ = 1222656.

The previous prime is 3672563. The next prime is 3672577. The reversal of 3672576 is 6752763.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3154176 + 518400 = 1776^2 + 720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3672576.

It is not an unprimeable number, because it can be changed into a prime (3672577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4210 + ... + 5006.

Almost surely, 2^3672576 is an apocalyptic number.

3672576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306301).

3672576 is an abundant number, since it is smaller than the sum of its proper divisors (6940026).

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

3672576 is an equidigital number, since it uses as much as digits as its factorization.

3672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 802 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 3672576 is about 1916.3966186570. The cubic root of 3672576 is about 154.2849617835.

The spelling of 3672576 in words is "three million, six hundred seventy-two thousand, five hundred seventy-six".