3729792 has 64 divisors (see below), whose sum is σ = 10820160. Its totient is φ = 1128960.

The previous prime is 3729767. The next prime is 3729793. The reversal of 3729792 is 2979273.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3729792² = 27822696726528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3729792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729793) 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, 3783 + ... + 4665.

It is an arithmetic number, because the mean of its divisors is an integer number (169065).

Almost surely, 2^3729792 is an apocalyptic number.

3729792 is a gapful number since it is divisible by the number (32) 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 3729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410080).

3729792 is an abundant number, since it is smaller than the sum of its proper divisors (7090368).

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

3729792 is a wasteful number, since it uses less digits than its factorization.

3729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its digits is 47628, while the sum is 39.

The square root of 3729792 is about 1931.2669416733. The cubic root of 3729792 is about 155.0820515970.

The spelling of 3729792 in words is "three million, seven hundred twenty-nine thousand, seven hundred ninety-two".