38201120064 has 84 divisors (see below), whose sum is σ = 109570662240. Its totient is φ = 12725095680.

The previous prime is 38201120059. The next prime is 38201120099. The reversal of 38201120064 is 46002110283.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 860197 + ... + 903515.

Almost surely, 2^38201120064 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 38201120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54785331120).

38201120064 is an abundant number, since it is smaller than the sum of its proper divisors (71369542176).

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

38201120064 is a wasteful number, since it uses less digits than its factorization.

38201120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44868 (or 44855 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38201120064 in words is "thirty-eight billion, two hundred one million, one hundred twenty thousand, sixty-four".