3872580 has 96 divisors (see below), whose sum is σ = 11827200. Its totient is φ = 943488.

The previous prime is 3872567. The next prime is 3872587. The reversal of 3872580 is 852783.

3872580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3872587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48981 + ... + 49059.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

Almost surely, 2^3872580 is an apocalyptic number.

3872580 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 3872580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913600).

3872580 is an abundant number, since it is smaller than the sum of its proper divisors (7954620).

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

3872580 is a wasteful number, since it uses less digits than its factorization.

3872580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3872580 is about 1967.8871918888. The cubic root of 3872580 is about 157.0363284291.

The spelling of 3872580 in words is "three million, eight hundred seventy-two thousand, five hundred eighty".