338822064 has 180 divisors, whose sum is σ = 1139361600. Its totient is φ = 93623040.

The previous prime is 338822059. The next prime is 338822083. The reversal of 338822064 is 460228833.

It is a super-3 number, since 3×338822064³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217962 + ... + 219510.

Almost surely, 2^338822064 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 338822064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569680800).

338822064 is an abundant number, since it is smaller than the sum of its proper divisors (800539536).

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

338822064 is a wasteful number, since it uses less digits than its factorization.

338822064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 338822064 is about 18407.1199268109. The cubic root of 338822064 is about 697.1462483358.

It can be divided in two parts, 3388 and 22064, that added together give a palindrome (25452).

The spelling of 338822064 in words is "three hundred thirty-eight million, eight hundred twenty-two thousand, sixty-four".