3837876 has 72 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1068480.

The previous prime is 3837871. The next prime is 3837877. The reversal of 3837876 is 6787383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (169344) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35815 + ... + 35921.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^3837876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3837876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3837876 is an abundant number, since it is smaller than the sum of its proper divisors (6848940).

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

3837876 is a wasteful number, since it uses less digits than its factorization.

3837876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3837876 is about 1959.0497696587. The cubic root of 3837876 is about 156.5658281730.

3837876 divided by its sum of digits (42) gives a triangular number (91378 = T₄₂₇).

The spelling of 3837876 in words is "three million, eight hundred thirty-seven thousand, eight hundred seventy-six".