38634673518 has 192 divisors, whose sum is σ = 105610272768. Its totient is φ = 10333370880.

The previous prime is 38634673457. The next prime is 38634673537. The reversal of 38634673518 is 81537643683.

38634673518 is a `hidden beast` number, since 3 + 8 + 63 + 4 + 67 + 3 + 518 = 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, 11391603 + ... + 11394993.

It is an arithmetic number, because the mean of its divisors is an integer number (550053504).

Almost surely, 2^38634673518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38634673518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52805136384).

38634673518 is an abundant number, since it is smaller than the sum of its proper divisors (66975599250).

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

38634673518 is a wasteful number, since it uses less digits than its factorization.

38634673518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3617 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 38634673518 in words is "thirty-eight billion, six hundred thirty-four million, six hundred seventy-three thousand, five hundred eighteen".