3696672 has 48 divisors (see below), whose sum is σ = 11092032. Its totient is φ = 1056000.

The previous prime is 3696643. The next prime is 3696703. The reversal of 3696672 is 2766963.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3696672.

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 7 ways as a sum of consecutive naturals, for example, 2079 + ... + 3422.

It is an arithmetic number, because the mean of its divisors is an integer number (231084).

Almost surely, 2^3696672 is an apocalyptic number.

3696672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3696672 is an abundant number, since it is smaller than the sum of its proper divisors (7395360).

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

3696672 is a wasteful number, since it uses less digits than its factorization.

3696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5513 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3696672 is about 1922.6731391477. The cubic root of 3696672 is about 154.6216509237.

The spelling of 3696672 in words is "three million, six hundred ninety-six thousand, six hundred seventy-two".