3727728 has 40 divisors (see below), whose sum is σ = 10701200. Its totient is φ = 1242432.

The previous prime is 3727727. The next prime is 3727729. The reversal of 3727728 is 8277273.

It is an interprime number because it is at equal distance from previous prime (3727727) and next prime (3727729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3727692 and 3727701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3883 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (267530).

Almost surely, 2^3727728 is an apocalyptic number.

It is an amenable number.

3727728 is an abundant number, since it is smaller than the sum of its proper divisors (6973472).

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

3727728 is a wasteful number, since it uses less digits than its factorization.

3727728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8634 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 3727728 is about 1930.7325034815. The cubic root of 3727728 is about 155.0534397766.

It can be divided in two parts, 372 and 7728, that added together give a square (8100 = 90²).

The spelling of 3727728 in words is "three million, seven hundred twenty-seven thousand, seven hundred twenty-eight".