3701920 has 48 divisors (see below), whose sum is σ = 9267048. Its totient is φ = 1392640.

The previous prime is 3701917. The next prime is 3701939. The reversal of 3701920 is 291073.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 839056 = 1692^2 + 916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3701891 and 3701900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040 + ... + 3400.

Almost surely, 2^3701920 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 3701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633524).

3701920 is an abundant number, since it is smaller than the sum of its proper divisors (5565128).

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

3701920 is a wasteful number, since it uses less digits than its factorization.

3701920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 3701920 is about 1924.0374216735. The cubic root of 3701920 is about 154.6947861412.

Adding to 3701920 its reverse (291073), we get a palindrome (3992993).

The spelling of 3701920 in words is "three million, seven hundred one thousand, nine hundred twenty".