338442663680 has 576 divisors, whose sum is σ = 945341300736. Its totient is φ = 114960384000.

The previous prime is 338442663667. The next prime is 338442663701. The reversal of 338442663680 is 86366244833.

It is a super-2 number, since 2×338442663680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2076335279 + ... + 2076335441.

It is an arithmetic number, because the mean of its divisors is an integer number (1641217536).

Almost surely, 2^338442663680 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 338442663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472670650368).

338442663680 is an abundant number, since it is smaller than the sum of its proper divisors (606898637056).

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

338442663680 is a wasteful number, since it uses less digits than its factorization.

338442663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 53.

The spelling of 338442663680 in words is "three hundred thirty-eight billion, four hundred forty-two million, six hundred sixty-three thousand, six hundred eighty".