38556343060704 has 576 divisors, whose sum is σ = 131384295060480. Its totient is φ = 10968370237440.

The previous prime is 38556343060691. The next prime is 38556343060747. The reversal of 38556343060704 is 40706034365583.

38556343060704 is a `hidden beast` number, since 3 + 8 + 5 + 563 + 4 + 3 + 0 + 6 + 0 + 70 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10251618184 + ... + 10251621944.

It is an arithmetic number, because the mean of its divisors is an integer number (228097734480).

Almost surely, 2^{38556343060704} 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 38556343060704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65692147530240).

38556343060704 is an abundant number, since it is smaller than the sum of its proper divisors (92827951999776).

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

38556343060704 is a wasteful number, since it uses less digits than its factorization.

38556343060704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 38556343060704 in words is "thirty-eight trillion, five hundred fifty-six billion, three hundred forty-three million, sixty thousand, seven hundred four".