3738768 has 80 divisors (see below), whose sum is σ = 10790976. Its totient is φ = 1105920.

The previous prime is 3738743. The next prime is 3738769. The reversal of 3738768 is 8678373.

It is a happy number.

3738768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3³ + 7² + 3¹³ + 8³ + 7² + 6⁶ + 8⁷ .

Its product of digits (169344) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (3738769) 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, 38496 + ... + 38592.

Almost surely, 2^3738768 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 3738768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395488).

3738768 is an abundant number, since it is smaller than the sum of its proper divisors (7052208).

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

3738768 is a wasteful number, since it uses less digits than its factorization.

3738768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3738768 is about 1933.5894083285. The cubic root of 3738768 is about 155.2063571279.

The spelling of 3738768 in words is "three million, seven hundred thirty-eight thousand, seven hundred sixty-eight".