3781120 has 80 divisors (see below), whose sum is σ = 10410048. Its totient is φ = 1290240.

The previous prime is 3781117. The next prime is 3781121. The reversal of 3781120 is 211873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3781091 and 3781100.

It is not an unprimeable number, because it can be changed into a prime (3781121) 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, 17815 + ... + 18025.

Almost surely, 2^3781120 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 3781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205024).

3781120 is an abundant number, since it is smaller than the sum of its proper divisors (6628928).

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

3781120 is an equidigital number, since it uses as much as digits as its factorization.

3781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3781120 is about 1944.5102211097. The cubic root of 3781120 is about 155.7902067040.

Adding to 3781120 its reverse (211873), we get a palindrome (3992993).

The spelling of 3781120 in words is "three million, seven hundred eighty-one thousand, one hundred twenty".