3729096 has 96 divisors (see below), whose sum is σ = 11856000. Its totient is φ = 1058400.

The previous prime is 3729071. The next prime is 3729097. The reversal of 3729096 is 6909273.

3729096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3729096.

It is not an unprimeable number, because it can be changed into a prime (3729097) 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 23 ways as a sum of consecutive naturals, for example, 24621 + ... + 24771.

It is an arithmetic number, because the mean of its divisors is an integer number (123500).

Almost surely, 2^3729096 is an apocalyptic number.

3729096 is a gapful number since it is divisible by the number (36) 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 3729096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928000).

3729096 is an abundant number, since it is smaller than the sum of its proper divisors (8126904).

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

3729096 is a wasteful number, since it uses less digits than its factorization.

3729096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3729096 is about 1931.0867406722. The cubic root of 3729096 is about 155.0724046048.

The spelling of 3729096 in words is "three million, seven hundred twenty-nine thousand, ninety-six".