3873120 has 48 divisors (see below), whose sum is σ = 12201840. Its totient is φ = 1032704.

The previous prime is 3873101. The next prime is 3873151. The reversal of 3873120 is 213783.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 3555 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (254205).

Almost surely, 2^3873120 is an apocalyptic number.

3873120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3873120 is an abundant number, since it is smaller than the sum of its proper divisors (8328720).

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

3873120 is a wasteful number, since it uses less digits than its factorization.

3873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8079 counting only the distinct ones).

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

The square root of 3873120 is about 1968.0243900928. The cubic root of 3873120 is about 157.0436272390.

It can be divided in two parts, 3873 and 120, that added together give a palindrome (3993).

The spelling of 3873120 in words is "three million, eight hundred seventy-three thousand, one hundred twenty".