3672582240 has 96 divisors (see below), whose sum is σ = 11577033216. Its totient is φ = 978644480.

The previous prime is 3672582187. The next prime is 3672582269. The reversal of 3672582240 is 422852763.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1213369 + ... + 1216391.

It is an arithmetic number, because the mean of its divisors is an integer number (120594096).

Almost surely, 2^3672582240 is an apocalyptic number.

3672582240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3672582240 is an abundant number, since it is smaller than the sum of its proper divisors (7904450976).

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

3672582240 is a wasteful number, since it uses less digits than its factorization.

3672582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3672582240 is about 60601.8336356253. The cubic root of 3672582240 is about 1542.8504916429.

The spelling of 3672582240 in words is "three billion, six hundred seventy-two million, five hundred eighty-two thousand, two hundred forty".