3672816 has 80 divisors (see below), whose sum is σ = 11499264. Its totient is φ = 986112.

The previous prime is 3672811. The next prime is 3672827. The reversal of 3672816 is 6182763.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5391 + ... + 6033.

Almost surely, 2^3672816 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 3672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749632).

3672816 is an abundant number, since it is smaller than the sum of its proper divisors (7826448).

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

3672816 is a wasteful number, since it uses less digits than its factorization.

3672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 3672816 is about 1916.4592351522. The cubic root of 3672816 is about 154.2883225113.

The spelling of 3672816 in words is "three million, six hundred seventy-two thousand, eight hundred sixteen".