3719328 has 96 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 1118208.

The previous prime is 3719323. The next prime is 3719329. The reversal of 3719328 is 8239173.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (9072) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (3719321) 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 15 ways as a sum of consecutive naturals, for example, 70150 + ... + 70202.

It is an arithmetic number, because the mean of its divisors is an integer number (112266).

Almost surely, 2^3719328 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 3719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768).

3719328 is an abundant number, since it is smaller than the sum of its proper divisors (7058208).

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

3719328 is a wasteful number, since it uses less digits than its factorization.

3719328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3719328 is about 1928.5559364457. Note that the first 3 decimals coincide. The cubic root of 3719328 is about 154.9368872432.

The spelling of 3719328 in words is "three million, seven hundred nineteen thousand, three hundred twenty-eight".