338581386823680 has 7680 divisors, whose sum is σ = 1738916315136000. Its totient is φ = 61040201564160.

The previous prime is 338581386823637. The next prime is 338581386823727. The reversal of 338581386823680 is 86328683185833.

338581386823680 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 8 + 1 + 386 + 8 + 236 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×338581386823680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 338581386823599 and 338581386823608.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2665995171777 + ... + 2665995171903.

It is an arithmetic number, because the mean of its divisors is an integer number (226421395200).

Almost surely, 2^{338581386823680} is an apocalyptic number.

338581386823680 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 338581386823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869458157568000).

338581386823680 is an abundant number, since it is smaller than the sum of its proper divisors (1400334928312320).

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

338581386823680 is a wasteful number, since it uses less digits than its factorization.

338581386823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 338581386823680 in words is "three hundred thirty-eight trillion, five hundred eighty-one billion, three hundred eighty-six million, eight hundred twenty-three thousand, six hundred eighty".