338758880 has 48 divisors (see below), whose sum is σ = 802962720. Its totient is φ = 135055872.

The previous prime is 338758879. The next prime is 338758891. The reversal of 338758880 is 88857833.

It is a super-2 number, since 2×338758880² = 229515157557708800, which contains 22 as substring.

It is a congruent 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, 47381 + ... + 54059.

It is an arithmetic number, because the mean of its divisors is an integer number (16728390).

Almost surely, 2^338758880 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 338758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401481360).

338758880 is an abundant number, since it is smaller than the sum of its proper divisors (464203840).

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

338758880 is a wasteful number, since it uses less digits than its factorization.

338758880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The square root of 338758880 is about 18405.4035543913. The cubic root of 338758880 is about 697.1029107145.

The spelling of 338758880 in words is "three hundred thirty-eight million, seven hundred fifty-eight thousand, eight hundred eighty".