338101520 has 40 divisors (see below), whose sum is σ = 790824384. Its totient is φ = 134425472.

The previous prime is 338101513. The next prime is 338101529. The reversal of 338101520 is 25101833.

338101520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338101520² = 228625275652620800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338101529) 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, 707 + ... + 26013.

Almost surely, 2^338101520 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 338101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395412192).

338101520 is an abundant number, since it is smaller than the sum of its proper divisors (452722864).

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

338101520 is a wasteful number, since it uses less digits than its factorization.

338101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25481 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 338101520 is about 18387.5370835792. The cubic root of 338101520 is about 696.6517104405.

The spelling of 338101520 in words is "three hundred thirty-eight million, one hundred one thousand, five hundred twenty".