3837280 has 48 divisors (see below), whose sum is σ = 9389520. Its totient is φ = 1480192.

The previous prime is 3837263. The next prime is 3837287. The reversal of 3837280 is 827383.

It is a super-3 number, since 3×3837280³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4227 + ... + 5053.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 2^3837280 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 3837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694760).

3837280 is an abundant number, since it is smaller than the sum of its proper divisors (5552240).

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

3837280 is a wasteful number, since it uses less digits than its factorization.

3837280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3837280 is about 1958.8976491895. The cubic root of 3837280 is about 156.5577231635.

The spelling of 3837280 in words is "three million, eight hundred thirty-seven thousand, two hundred eighty".