38618623296 has 252 divisors, whose sum is σ = 122657307136. Its totient is φ = 11607805440.

The previous prime is 38618623249. The next prime is 38618623387. The reversal of 38618623296 is 69232681683.

38618623296 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 8 + 623 + 2 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8849211 + ... + 8853573.

Almost surely, 2^38618623296 is an apocalyptic number.

38618623296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38618623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61328653568).

38618623296 is an abundant number, since it is smaller than the sum of its proper divisors (84038683840).

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

38618623296 is a wasteful number, since it uses less digits than its factorization.

38618623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4506 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 38618623296 in words is "thirty-eight billion, six hundred eighteen million, six hundred twenty-three thousand, two hundred ninety-six".