3836880 has 90 divisors (see below), whose sum is σ = 13064454. Its totient is φ = 1009152.

The previous prime is 3836869. The next prime is 3836887. The reversal of 3836880 is 886383.

3836880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 3283344 = 744^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836887) 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 17 ways as a sum of consecutive naturals, for example, 52524 + ... + 52596.

Almost surely, 2^3836880 is an apocalyptic number.

3836880 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 3836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532227).

3836880 is an abundant number, since it is smaller than the sum of its proper divisors (9227574).

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

3836880 is a wasteful number, since it uses less digits than its factorization.

3836880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3836880 is about 1958.7955482898. The cubic root of 3836880 is about 156.5522830891.

The spelling of 3836880 in words is "three million, eight hundred thirty-six thousand, eight hundred eighty".