3726888 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1068480.

The previous prime is 3726881. The next prime is 3726889. The reversal of 3726888 is 8886273.

3726888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹³ + 7² + 2¹¹ + 6² + 8³ + 8⁵ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (3726881) 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 15 ways as a sum of consecutive naturals, for example, 4645 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^3726888 is an apocalyptic number.

3726888 is a gapful number since it is divisible by the number (38) 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 3726888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3726888 is an abundant number, since it is smaller than the sum of its proper divisors (6986712).

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

3726888 is a wasteful number, since it uses less digits than its factorization.

3726888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 3726888 is about 1930.5149572070. The cubic root of 3726888 is about 155.0417924073.

It can be divided in two parts, 372 and 6888, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 3726888 in words is "three million, seven hundred twenty-six thousand, eight hundred eighty-eight".