3801920 has 42 divisors (see below), whose sum is σ = 9137142. Its totient is φ = 1506816.

The previous prime is 3801899. The next prime is 3801937. The reversal of 3801920 is 291083.

It can be written as a sum of positive squares in 3 ways, for example, as 952576 + 2849344 = 976^2 + 1688^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34826 + ... + 34934.

It is an arithmetic number, because the mean of its divisors is an integer number (217551).

Almost surely, 2^3801920 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 3801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568571).

3801920 is an abundant number, since it is smaller than the sum of its proper divisors (5335222).

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

3801920 is an equidigital number, since it uses as much as digits as its factorization.

3801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 3801920 is about 1949.8512763798. The cubic root of 3801920 is about 156.0753525951.

The spelling of 3801920 in words is "three million, eight hundred one thousand, nine hundred twenty".