3722672 has 40 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1756160.

The previous prime is 3722629. The next prime is 3722683. The reversal of 3722672 is 2762273.

3722672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32888 + ... + 33000.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^3722672 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 3722672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

3722672 is an abundant number, since it is smaller than the sum of its proper divisors (3910768).

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

3722672 is a wasteful number, since it uses less digits than its factorization.

3722672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 3722672 is about 1929.4227115902. The cubic root of 3722672 is about 154.9833072554.

The spelling of 3722672 in words is "three million, seven hundred twenty-two thousand, six hundred seventy-two".