3783120 has 80 divisors (see below), whose sum is σ = 12802752. Its totient is φ = 916480.

The previous prime is 3783119. The next prime is 3783181. The reversal of 3783120 is 213873.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924 + ... + 3356.

Almost surely, 2^3783120 is an apocalyptic number.

3783120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401376).

3783120 is an abundant number, since it is smaller than the sum of its proper divisors (9019632).

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

3783120 is a wasteful number, since it uses less digits than its factorization.

3783120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3783120 is about 1945.0244214405. The cubic root of 3783120 is about 155.8176699506.

Adding to 3783120 its reverse (213873), we get a palindrome (3996993).

The spelling of 3783120 in words is "three million, seven hundred eighty-three thousand, one hundred twenty".