3732768 has 72 divisors (see below), whose sum is σ = 11443068. Its totient is φ = 1147392.

The previous prime is 3732761. The next prime is 3732769. The reversal of 3732768 is 8672373.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 144 = 1932^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3732761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3246 + ... + 4242.

Almost surely, 2^3732768 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 3732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721534).

3732768 is an abundant number, since it is smaller than the sum of its proper divisors (7710300).

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

3732768 is a wasteful number, since it uses less digits than its factorization.

3732768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3732768 is about 1932.0372667213. The cubic root of 3732768 is about 155.1232872736.

The spelling of 3732768 in words is "three million, seven hundred thirty-two thousand, seven hundred sixty-eight".