38574538078608 has 840 divisors, whose sum is σ = 132568043102208. Its totient is φ = 10835444680704.

The previous prime is 38574538078603. The next prime is 38574538078669. The reversal of 38574538078608 is 80687083547583.

38574538078608 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 4 + 5 + 3 + 8 + 0 + 7 + 8 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38574538078603) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8202110785 + ... + 8202115487.

Almost surely, 2^{38574538078608} 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 38574538078608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66284021551104).

38574538078608 is an abundant number, since it is smaller than the sum of its proper divisors (93993505023600).

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

38574538078608 is a wasteful number, since it uses less digits than its factorization.

38574538078608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 38574538078608 in words is "thirty-eight trillion, five hundred seventy-four billion, five hundred thirty-eight million, seventy-eight thousand, six hundred eight".