38806110720 has 640 divisors, whose sum is σ = 156327494400. Its totient is φ = 9045540864.

The previous prime is 38806110703. The next prime is 38806110731. The reversal of 38806110720 is 2701160883.

38806110720 is a `hidden beast` number, since 38 + 8 + 0 + 611 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17071504 + ... + 17073776.

It is an arithmetic number, because the mean of its divisors is an integer number (244261710).

Almost surely, 2^38806110720 is an apocalyptic number.

38806110720 is a gapful number since it is divisible by the number (30) 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 38806110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78163747200).

38806110720 is an abundant number, since it is smaller than the sum of its proper divisors (117521383680).

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

38806110720 is a wasteful number, since it uses less digits than its factorization.

38806110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 38806110720 in words is "thirty-eight billion, eight hundred six million, one hundred ten thousand, seven hundred twenty".