38470705761024 has 432 divisors, whose sum is σ = 118229261230080. Its totient is φ = 12467304345600.

The previous prime is 38470705761001. The next prime is 38470705761041. The reversal of 38470705761024 is 42016750707483.

38470705761024 is a `hidden beast` number, since 3 + 8 + 47 + 0 + 7 + 0 + 576 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3339755137 + ... + 3339766655.

It is an arithmetic number, because the mean of its divisors is an integer number (273678845440).

Almost surely, 2^{38470705761024} 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 38470705761024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59114630615040).

38470705761024 is an abundant number, since it is smaller than the sum of its proper divisors (79758555469056).

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

38470705761024 is a wasteful number, since it uses less digits than its factorization.

38470705761024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 38470705761024 in words is "thirty-eight trillion, four hundred seventy billion, seven hundred five million, seven hundred sixty-one thousand, twenty-four".