338500918080 has 560 divisors, whose sum is σ = 1301232073680. Its totient is φ = 83034243072.

The previous prime is 338500918033. The next prime is 338500918109. The reversal of 338500918080 is 80819005833.

It can be written as a sum of positive squares in 8 ways, for example, as 42373399104 + 296127518976 = 205848^2 + 544176^2 .

It is a super-2 number, since 2×338500918080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106814736 + ... + 106817904.

It is an arithmetic number, because the mean of its divisors is an integer number (2323628703).

Almost surely, 2^338500918080 is an apocalyptic number.

338500918080 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 338500918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650616036840).

338500918080 is an abundant number, since it is smaller than the sum of its proper divisors (962731155600).

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

338500918080 is a wasteful number, since it uses less digits than its factorization.

338500918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 338500918080 in words is "three hundred thirty-eight billion, five hundred million, nine hundred eighteen thousand, eighty".