3837680 has 120 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 1182720.

The previous prime is 3837661. The next prime is 3837689. The reversal of 3837680 is 867383.

It is a Cunningham number, because it is equal to 1959²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3837680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43076 + ... + 43164.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

Almost surely, 2^3837680 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 3837680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

3837680 is an abundant number, since it is smaller than the sum of its proper divisors (7612480).

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

3837680 is a wasteful number, since it uses less digits than its factorization.

3837680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 3837680 is about 1958.9997447677. Note that the first 3 decimals coincide. The cubic root of 3837680 is about 156.5631628598.

The spelling of 3837680 in words is "three million, eight hundred thirty-seven thousand, six hundred eighty".