3728047 has 12 divisors (see below), whose sum is σ = 4114800. Its totient is φ = 3370752.

The previous prime is 3728041. The next prime is 3728051. The reversal of 3728047 is 7408273.

It is a de Polignac number, because none of the positive numbers 2^k-3728047 is a prime.

It is a Duffinian number.

3728047 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728041) 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 11 ways as a sum of consecutive naturals, for example, 8079 + ... + 8527.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 2^3728047 is an apocalyptic number.

3728047 is a deficient number, since it is larger than the sum of its proper divisors (386753).

3728047 is a wasteful number, since it uses less digits than its factorization.

3728047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 3728047 is about 1930.8151128474. The cubic root of 3728047 is about 155.0578625453.

The spelling of 3728047 in words is "three million, seven hundred twenty-eight thousand, forty-seven".