3736672 has 24 divisors (see below), whose sum is σ = 7677936. Its totient is φ = 1786752.

The previous prime is 3736669. The next prime is 3736717. The reversal of 3736672 is 2766373.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (319914).

Almost surely, 2^3736672 is an apocalyptic number.

3736672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3736672 is an abundant number, since it is smaller than the sum of its proper divisors (3941264).

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

3736672 is a wasteful number, since it uses less digits than its factorization.

3736672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5102 counting only the distinct ones).

The product of its digits is 31752, while the sum is 34.

The square root of 3736672 is about 1933.0473351680. The cubic root of 3736672 is about 155.1773481661.

Subtracting from 3736672 its reverse (2766373), we obtain a cube (970299 = 99³).

The spelling of 3736672 in words is "three million, seven hundred thirty-six thousand, six hundred seventy-two".