3729664 has 36 divisors (see below), whose sum is σ = 7891884. Its totient is φ = 1753088.

The previous prime is 3729659. The next prime is 3729667. The reversal of 3729664 is 4669273.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 518400 = 1792^2 + 720^2 .

It is not an unprimeable number, because it can be changed into a prime (3729667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3924 + ... + 4780.

It is an arithmetic number, because the mean of its divisors is an integer number (219219).

Almost surely, 2^3729664 is an apocalyptic number.

3729664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945942).

3729664 is an abundant number, since it is smaller than the sum of its proper divisors (4162220).

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

3729664 is an equidigital number, since it uses as much as digits as its factorization.

3729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 3729664 is about 1931.2338025211. The cubic root of 3729664 is about 155.0802775276.

The spelling of 3729664 in words is "three million, seven hundred twenty-nine thousand, six hundred sixty-four".