3813920 has 72 divisors (see below), whose sum is σ = 9954252. Its totient is φ = 1379840.

The previous prime is 3813913. The next prime is 3813941. The reversal of 3813920 is 293183.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 234256 = 1892^2 + 484^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3813920.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19262 + ... + 19458.

Almost surely, 2^3813920 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 3813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977126).

3813920 is an abundant number, since it is smaller than the sum of its proper divisors (6140332).

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

3813920 is a wasteful number, since it uses less digits than its factorization.

3813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3813920 is about 1952.9260098631. The cubic root of 3813920 is about 156.2393870125.

The spelling of 3813920 in words is "three million, eight hundred thirteen thousand, nine hundred twenty".