338526835920 has 640 divisors, whose sum is σ = 1446187438080. Its totient is φ = 70874818560.

The previous prime is 338526835897. The next prime is 338526835937. The reversal of 338526835920 is 29538625833.

338526835920 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 268 + 359 + 20 = 666.

It is a super-2 number, since 2×338526835920² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25742787 + ... + 25755933.

It is an arithmetic number, because the mean of its divisors is an integer number (2259667872).

Almost surely, 2^338526835920 is an apocalyptic number.

338526835920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338526835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723093719040).

338526835920 is an abundant number, since it is smaller than the sum of its proper divisors (1107660602160).

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

338526835920 is a wasteful number, since it uses less digits than its factorization.

338526835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 338526835920 in words is "three hundred thirty-eight billion, five hundred twenty-six million, eight hundred thirty-five thousand, nine hundred twenty".