3872037 has 16 divisors (see below), whose sum is σ = 5620608. Its totient is φ = 2356800.

The previous prime is 3872023. The next prime is 3872041. The reversal of 3872037 is 7302783.

3872037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3872037 - 2⁷ = 3871909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3871995 and 3872013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872017) 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 15 ways as a sum of consecutive naturals, for example, 3448 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (351288).

Almost surely, 2^3872037 is an apocalyptic number.

It is an amenable number.

3872037 is a deficient number, since it is larger than the sum of its proper divisors (1748571).

3872037 is a wasteful number, since it uses less digits than its factorization.

3872037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3872037 is about 1967.7492218268. The cubic root of 3872037 is about 157.0289883860.

The spelling of 3872037 in words is "three million, eight hundred seventy-two thousand, thirty-seven".