3780120 has 96 divisors (see below), whose sum is σ = 12157200. Its totient is φ = 940032.

The previous prime is 3780113. The next prime is 3780143. The reversal of 3780120 is 210873.

3780120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34626 + ... + 34734.

Almost surely, 2^3780120 is an apocalyptic number.

3780120 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 3780120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078600).

3780120 is an abundant number, since it is smaller than the sum of its proper divisors (8377080).

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

3780120 is a wasteful number, since it uses less digits than its factorization.

3780120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3780120 is about 1944.2530699474. The cubic root of 3780120 is about 155.7764714489.

Adding to 3780120 its reverse (210873), we get a palindrome (3990993).

The spelling of 3780120 in words is "three million, seven hundred eighty thousand, one hundred twenty".