3762816 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1218560.

The previous prime is 3762799. The next prime is 3762821. The reversal of 3762816 is 6182673.

3762816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15625 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3762816 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 3762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3762816 is an abundant number, since it is smaller than the sum of its proper divisors (6518784).

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

3762816 is a wasteful number, since it uses less digits than its factorization.

3762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

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

The square root of 3762816 is about 1939.7979276203. The cubic root of 3762816 is about 155.5384120185.

The spelling of 3762816 in words is "three million, seven hundred sixty-two thousand, eight hundred sixteen".