338826064 has 40 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 160541568.

The previous prime is 338826049. The next prime is 338826067. The reversal of 338826064 is 460628833.

It is a super-2 number, since 2×338826064² = 229606203291464192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338826067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35889 + ... + 44335.

It is an arithmetic number, because the mean of its divisors is an integer number (17284608).

Almost surely, 2^338826064 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 338826064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

338826064 is an abundant number, since it is smaller than the sum of its proper divisors (352558256).

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

338826064 is a wasteful number, since it uses less digits than its factorization.

338826064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8587 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 338826064 is about 18407.2285800986. The cubic root of 338826064 is about 697.1489917365.

The spelling of 338826064 in words is "three hundred thirty-eight million, eight hundred twenty-six thousand, sixty-four".