3782120 has 32 divisors (see below), whose sum is σ = 8881920. Its totient is φ = 1446720.

The previous prime is 3782117. The next prime is 3782123. The reversal of 3782120 is 212873.

3782120 = T₂₉₆ + T₂₉₇ + ... + T₃₆₄.

It is an interprime number because it is at equal distance from previous prime (3782117) and next prime (3782123).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (3782123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (277560).

Almost surely, 2^3782120 is an apocalyptic number.

It is an amenable number.

3782120 is an abundant number, since it is smaller than the sum of its proper divisors (5099800).

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

3782120 is a wasteful number, since it uses less digits than its factorization.

3782120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3782120 is about 1944.7673382695. The cubic root of 3782120 is about 155.8039395375.

Adding to 3782120 its reverse (212873), we get a palindrome (3994993).

The spelling of 3782120 in words is "three million, seven hundred eighty-two thousand, one hundred twenty".