3673768 has 48 divisors (see below), whose sum is σ = 8399520. Its totient is φ = 1475328.

The previous prime is 3673763. The next prime is 3673771. The reversal of 3673768 is 8673763.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 6⁷ + 7² + 3¹³ + 7⁶ + 6⁸ + 8 .

It is a self number, because there is not a number n which added to its sum of digits gives 3673768.

It is not an unprimeable number, because it can be changed into a prime (3673763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16071 + ... + 16297.

It is an arithmetic number, because the mean of its divisors is an integer number (174990).

Almost surely, 2^3673768 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 3673768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199760).

3673768 is an abundant number, since it is smaller than the sum of its proper divisors (4725752).

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

3673768 is a wasteful number, since it uses less digits than its factorization.

3673768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 3673768 is about 1916.7075937659. The cubic root of 3673768 is about 154.3016519560.

The spelling of 3673768 in words is "three million, six hundred seventy-three thousand, seven hundred sixty-eight".