338126320 has 80 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 114446592.

The previous prime is 338126317. The next prime is 338126323. The reversal of 338126320 is 23621833.

It is an interprime number because it is at equal distance from previous prime (338126317) and next prime (338126323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338126320² = 228658816553484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338126323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40419 + ... + 48061.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^338126320 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 338126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

338126320 is an abundant number, since it is smaller than the sum of its proper divisors (571815440).

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

338126320 is a wasteful number, since it uses less digits than its factorization.

338126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 338126320 is about 18388.2114410293. The cubic root of 338126320 is about 696.6687433325.

The spelling of 338126320 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, three hundred twenty".