3673728 has 64 divisors (see below), whose sum is σ = 10852800. Its totient is φ = 1223424.

The previous prime is 3673727. The next prime is 3673741. The reversal of 3673728 is 8273763.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 3673692 and 3673701.

It is not an unprimeable number, because it can be changed into a prime (3673727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2925 + ... + 3987.

It is an arithmetic number, because the mean of its divisors is an integer number (169575).

Almost surely, 2^3673728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426400).

3673728 is an abundant number, since it is smaller than the sum of its proper divisors (7179072).

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

3673728 is a wasteful number, since it uses less digits than its factorization.

3673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1068 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3673728 is about 1916.6971591777. The cubic root of 3673728 is about 154.3010919417.

It can be divided in two parts, 367 and 3728, that added together give a triangular number (4095 = T₉₀).

The spelling of 3673728 in words is "three million, six hundred seventy-three thousand, seven hundred twenty-eight".