38793530880 has 960 divisors, whose sum is σ = 154739471040. Its totient is φ = 9316270080.

The previous prime is 38793530849. The next prime is 38793530947. The reversal of 38793530880 is 8803539783.

38793530880 is a `hidden beast` number, since 38 + 79 + 3 + 530 + 8 + 8 + 0 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946183660 + ... + 946183700.

It is an arithmetic number, because the mean of its divisors is an integer number (161186949).

Almost surely, 2^38793530880 is an apocalyptic number.

38793530880 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 38793530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77369735520).

38793530880 is an abundant number, since it is smaller than the sum of its proper divisors (115945940160).

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

38793530880 is an frugal number, since it uses more digits than its factorization.

38793530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38793530880 in words is "thirty-eight billion, seven hundred ninety-three million, five hundred thirty thousand, eight hundred eighty".