3729504 has 48 divisors (see below), whose sum is σ = 9988272. Its totient is φ = 1218048.

The previous prime is 3729503. The next prime is 3729521. The reversal of 3729504 is 4059273.

3729504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4722 + ... + 5454.

It is an arithmetic number, because the mean of its divisors is an integer number (208089).

Almost surely, 2^3729504 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 3729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994136).

3729504 is an abundant number, since it is smaller than the sum of its proper divisors (6258768).

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

3729504 is a wasteful number, since it uses less digits than its factorization.

3729504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3729504 is about 1931.1923777811. The cubic root of 3729504 is about 155.0780598837.

The spelling of 3729504 in words is "three million, seven hundred twenty-nine thousand, five hundred four".