338108359680 has 2640 divisors, whose sum is σ = 1635162203136. Its totient is φ = 64975011840.

The previous prime is 338108359669. The next prime is 338108359703. The reversal of 338108359680 is 86953801833.

It is a happy number.

338108359680 is a `hidden beast` number, since 3 + 38 + 10 + 8 + 3 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×338108359680² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10906721265 + ... + 10906721295.

Almost surely, 2^338108359680 is an apocalyptic number.

338108359680 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 338108359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817581101568).

338108359680 is an abundant number, since it is smaller than the sum of its proper divisors (1297053843456).

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

338108359680 is a wasteful number, since it uses less digits than its factorization.

338108359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 338108359680 in words is "three hundred thirty-eight billion, one hundred eight million, three hundred fifty-nine thousand, six hundred eighty".