3729888 has 60 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1242432.

The previous prime is 3729883. The next prime is 3729899. The reversal of 3729888 is 8889273.

3729888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729883) 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 9 ways as a sum of consecutive naturals, for example, 1873 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^3729888 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 3729888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3729888 is an abundant number, since it is smaller than the sum of its proper divisors (7247232).

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

3729888 is a wasteful number, since it uses less digits than its factorization.

3729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1444 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3729888 is about 1931.2917956642. The cubic root of 3729888 is about 155.0833821224.

The spelling of 3729888 in words is "three million, seven hundred twenty-nine thousand, eight hundred eighty-eight".