3780192 has 72 divisors (see below), whose sum is σ = 10791144. Its totient is φ = 1158144.

The previous prime is 3780191. The next prime is 3780193. The reversal of 3780192 is 2910873.

It is a happy number.

3780192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3780191) and next prime (3780193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16108 + ... + 16340.

It is an arithmetic number, because the mean of its divisors is an integer number (149877).

Almost surely, 2^3780192 is an apocalyptic number.

3780192 is a gapful number since it is divisible by the number (32) 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 3780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395572).

3780192 is an abundant number, since it is smaller than the sum of its proper divisors (7010952).

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

3780192 is a wasteful number, since it uses less digits than its factorization.

3780192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3780192 is about 1944.2715859674. The cubic root of 3780192 is about 155.7774604682. Note that the first 3 decimals are identical.

The spelling of 3780192 in words is "three million, seven hundred eighty thousand, one hundred ninety-two".