38823210720 has 864 divisors, whose sum is σ = 163917831168. Its totient is φ = 8191715328.

The previous prime is 38823210707. The next prime is 38823210757. The reversal of 38823210720 is 2701232883.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171027247 + ... + 171027473.

It is an arithmetic number, because the mean of its divisors is an integer number (189719712).

Almost surely, 2^38823210720 is an apocalyptic number.

38823210720 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 38823210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81958915584).

38823210720 is an abundant number, since it is smaller than the sum of its proper divisors (125094620448).

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

38823210720 is a wasteful number, since it uses less digits than its factorization.

38823210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38823210720 in words is "thirty-eight billion, eight hundred twenty-three million, two hundred ten thousand, seven hundred twenty".