7338768 has 40 divisors (see below), whose sum is σ = 19367808. Its totient is φ = 2393472.

The previous prime is 7338757. The next prime is 7338787. The reversal of 7338768 is 8678337.

It is a happy number.

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, 630 + ... + 3882.

Almost surely, 2^7338768 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 7338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683904).

7338768 is an abundant number, since it is smaller than the sum of its proper divisors (12029040).

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

7338768 is a wasteful number, since it uses less digits than its factorization.

7338768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

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

The square root of 7338768 is about 2709.0160575382. The cubic root of 7338768 is about 194.3305379361.

The spelling of 7338768 in words is "seven million, three hundred thirty-eight thousand, seven hundred sixty-eight".