3872556 has 48 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 1233936.

The previous prime is 3872543. The next prime is 3872567. The reversal of 3872556 is 6552783.

3872556 is a `hidden beast` number, since 38 + 72 + 556 = 666.

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

It is a d-powerful number, because it can be written as 3⁶ + 8⁷ + 7⁵ + 2 + 5³ + 5⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3872556.

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, 1705 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^3872556 is an apocalyptic number.

3872556 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 3872556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3872556 is an abundant number, since it is smaller than the sum of its proper divisors (6610644).

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

3872556 is a wasteful number, since it uses less digits than its factorization.

3872556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3872556 is about 1967.8810939688. The cubic root of 3872556 is about 157.0360040218.

It can be divided in two parts, 38725 and 56, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 3872556 in words is "three million, eight hundred seventy-two thousand, five hundred fifty-six".