38791580100 has 432 divisors, whose sum is σ = 144063029376. Its totient is φ = 7983360000.

The previous prime is 38791580089. The next prime is 38791580111. The reversal of 38791580100 is 108519783.

It is an interprime number because it is at equal distance from previous prime (38791580089) and next prime (38791580111).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 7832625 + ... + 7837575.

Almost surely, 2^38791580100 is an apocalyptic number.

38791580100 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 38791580100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72031514688).

38791580100 is an abundant number, since it is smaller than the sum of its proper divisors (105271449276).

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

38791580100 is a wasteful number, since it uses less digits than its factorization.

38791580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 38791580100 in words is "thirty-eight billion, seven hundred ninety-one million, five hundred eighty thousand, one hundred".