6338464 has 36 divisors (see below), whose sum is σ = 13724802. Its totient is φ = 2879360.

The previous prime is 6338417. The next prime is 6338471. The reversal of 6338464 is 4648336.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 48400 = 2508^2 + 220^2 .

It is a super-2 number, since 2×6338464² = 80352251758592, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6 + 3² + 3⁴ + 8⁷ + 4⁴ + 6⁶ + 4¹¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3054 + ... + 4690.

Almost surely, 2^6338464 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 6338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862401).

6338464 is an abundant number, since it is smaller than the sum of its proper divisors (7386338).

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

6338464 is a wasteful number, since it uses less digits than its factorization.

6338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1650 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 6338464 is about 2517.6306321619. The cubic root of 6338464 is about 185.0665842623.

The spelling of 6338464 in words is "six million, three hundred thirty-eight thousand, four hundred sixty-four".