3729528 has 96 divisors (see below), whose sum is σ = 11709360. Its totient is φ = 1059840.

The previous prime is 3729521. The next prime is 3729533. The reversal of 3729528 is 8259273.

It is a happy number.

3729528 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3729492 and 3729501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13326 + ... + 13602.

Almost surely, 2^3729528 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 3729528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854680).

3729528 is an abundant number, since it is smaller than the sum of its proper divisors (7979832).

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

3729528 is a wasteful number, since it uses less digits than its factorization.

3729528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3729528 is about 1931.1985915488. The cubic root of 3729528 is about 155.0783925343.

The spelling of 3729528 in words is "three million, seven hundred twenty-nine thousand, five hundred twenty-eight".