38793142080 has 2016 divisors, whose sum is σ = 188876513280. Its totient is φ = 7390310400.

The previous prime is 38793142079. The next prime is 38793142103. The reversal of 38793142080 is 8024139783.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1251391665 + ... + 1251391695.

Almost surely, 2^38793142080 is an apocalyptic number.

38793142080 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 38793142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94438256640).

38793142080 is an abundant number, since it is smaller than the sum of its proper divisors (150083371200).

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

38793142080 is a wasteful number, since it uses less digits than its factorization.

38793142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38793142080 in words is "thirty-eight billion, seven hundred ninety-three million, one hundred forty-two thousand, eighty".