38791250460 has 192 divisors, whose sum is σ = 127617638400. Its totient is φ = 9766310400.

The previous prime is 38791250447. The next prime is 38791250467. The reversal of 38791250460 is 6405219783.

38791250460 is a `hidden beast` number, since 3 + 8 + 79 + 12 + 504 + 60 = 666.

It is a super-2 number, since 2×38791250460² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38791250467) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 658081 + ... + 714599.

It is an arithmetic number, because the mean of its divisors is an integer number (664675200).

It is a 1-persistent number, because it is pandigital, but 2⋅38791250460 = 77582500920 is not.

Almost surely, 2^38791250460 is an apocalyptic number.

38791250460 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 38791250460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63808819200).

38791250460 is an abundant number, since it is smaller than the sum of its proper divisors (88826387940).

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

38791250460 is a wasteful number, since it uses less digits than its factorization.

38791250460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56609 (or 56601 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38791250460 in words is "thirty-eight billion, seven hundred ninety-one million, two hundred fifty thousand, four hundred sixty".