3729672 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1200960.

The previous prime is 3729667. The next prime is 3729673. The reversal of 3729672 is 2769273.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3729673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6418 + ... + 6974.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^3729672 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 3729672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3729672 is an abundant number, since it is smaller than the sum of its proper divisors (6983928).

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

3729672 is a wasteful number, since it uses less digits than its factorization.

3729672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3729672 is about 1931.2358737347. The cubic root of 3729672 is about 155.0803884081.

The spelling of 3729672 in words is "three million, seven hundred twenty-nine thousand, six hundred seventy-two".