338126720 has 128 divisors (see below), whose sum is σ = 844192800. Its totient is φ = 129392640.

The previous prime is 338126693. The next prime is 338126731. The reversal of 338126720 is 27621833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338126720² = 228659357555916800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581055 + ... + 2581185.

Almost surely, 2^338126720 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 338126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422096400).

338126720 is an abundant number, since it is smaller than the sum of its proper divisors (506066080).

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

338126720 is a wasteful number, since it uses less digits than its factorization.

338126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 338126720 is about 18388.2223175597. Note that the first 3 decimals coincide. The cubic root of 338126720 is about 696.6690180497.

The spelling of 338126720 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, seven hundred twenty".