38233198080 has 960 divisors, whose sum is σ = 172446962688. Its totient is φ = 7591034880.

The previous prime is 38233198027. The next prime is 38233198117. The reversal of 38233198080 is 8089133283.

38233198080 is a `hidden beast` number, since 382 + 3 + 3 + 198 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40803372 + ... + 40804308.

Almost surely, 2^38233198080 is an apocalyptic number.

38233198080 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 38233198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86223481344).

38233198080 is an abundant number, since it is smaller than the sum of its proper divisors (134213764608).

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

38233198080 is a wasteful number, since it uses less digits than its factorization.

38233198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38233198080 in words is "thirty-eight billion, two hundred thirty-three million, one hundred ninety-eight thousand, eighty".