3729837 has 8 divisors (see below), whose sum is σ = 4995936. Its totient is φ = 2475152.

The previous prime is 3729809. The next prime is 3729853. The reversal of 3729837 is 7389273.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3729837 - 2⁷ = 3729709 is a prime.

It is a d-powerful number, because it can be written as 3¹³ + 7 + 2¹⁹ + 9² + 8 + 3¹³ + 7⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3729795 and 3729804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2058 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (624492).

Almost surely, 2^3729837 is an apocalyptic number.

It is an amenable number.

3729837 is a deficient number, since it is larger than the sum of its proper divisors (1266099).

3729837 is a wasteful number, since it uses less digits than its factorization.

3729837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707.

The product of its digits is 63504, while the sum is 39.

The square root of 3729837 is about 1931.2785920214. The cubic root of 3729837 is about 155.0826752836.

The spelling of 3729837 in words is "three million, seven hundred twenty-nine thousand, eight hundred thirty-seven".