38603084352768 has 648 divisors, whose sum is σ = 122250854830104. Its totient is φ = 11708596224000.

The previous prime is 38603084352751. The next prime is 38603084352799. The reversal of 38603084352768 is 86725348030683.

38603084352768 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 3 + 0 + 8 + 43 + 527 + 68 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11732214253824 + 26870870098944 = 3425232^2 + 5183712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9477799180 + ... + 9477803252.

Almost surely, 2^{38603084352768} 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 38603084352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61125427415052).

38603084352768 is an abundant number, since it is smaller than the sum of its proper divisors (83647770477336).

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

38603084352768 is a wasteful number, since it uses less digits than its factorization.

38603084352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 38603084352768 in words is "thirty-eight trillion, six hundred three billion, eighty-four million, three hundred fifty-two thousand, seven hundred sixty-eight".