3732928 has 56 divisors (see below), whose sum is σ = 8119872. Its totient is φ = 1695744.

The previous prime is 3732919. The next prime is 3732931. The reversal of 3732928 is 8292373.

3732928 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 (34).

It is a d-powerful number, because it can be written as 3³ + 7² + 3¹³ + 2¹¹ + 9⁴ + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3732893 and 3732902.

It is a congruent number.

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, 51100 + ... + 51172.

Almost surely, 2^3732928 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 3732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059936).

3732928 is an abundant number, since it is smaller than the sum of its proper divisors (4386944).

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

3732928 is a wasteful number, since it uses less digits than its factorization.

3732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 3732928 is about 1932.0786733464. The cubic root of 3732928 is about 155.1255036245.

The spelling of 3732928 in words is "three million, seven hundred thirty-two thousand, nine hundred twenty-eight".