3632580 has 144 divisors (see below), whose sum is σ = 13345920. Its totient is φ = 803520.

The previous prime is 3632579. The next prime is 3632599. The reversal of 3632580 is 852363.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117165 + ... + 117195.

It is an arithmetic number, because the mean of its divisors is an integer number (92680).

Almost surely, 2^3632580 is an apocalyptic number.

3632580 is a gapful number since it is divisible by the number (30) 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 3632580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672960).

3632580 is an abundant number, since it is smaller than the sum of its proper divisors (9713340).

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

3632580 is a wasteful number, since it uses less digits than its factorization.

3632580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3632580 is about 1905.9328424685. The cubic root of 3632580 is about 153.7228387475.

The spelling of 3632580 in words is "three million, six hundred thirty-two thousand, five hundred eighty".