3672768 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 1059840.

The previous prime is 3672761. The next prime is 3672769. The reversal of 3672768 is 8672763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78121 + ... + 78167.

Almost surely, 2^3672768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3672768 is an abundant number, since it is smaller than the sum of its proper divisors (7446336).

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

3672768 is a wasteful number, since it uses less digits than its factorization.

3672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 3672768 is about 1916.4467120168. The cubic root of 3672768 is about 154.2876503774.

The spelling of 3672768 in words is "three million, six hundred seventy-two thousand, seven hundred sixty-eight".