3937280 has 44 divisors (see below), whose sum is σ = 9457140. Its totient is φ = 1572864.

The previous prime is 3937273. The next prime is 3937289. The reversal of 3937280 is 827393.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 2458624 = 1216^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4736 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (214935).

Almost surely, 2^3937280 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 3937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728570).

3937280 is an abundant number, since it is smaller than the sum of its proper divisors (5519860).

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

3937280 is an equidigital number, since it uses as much as digits as its factorization.

3937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3937280 is about 1984.2580477347. The cubic root of 3937280 is about 157.9060489361.

The spelling of 3937280 in words is "three million, nine hundred thirty-seven thousand, two hundred eighty".