38500619976 has 640 divisors, whose sum is σ = 137696993280. Its totient is φ = 9782083584.

The previous prime is 38500619929. The next prime is 38500620017. The reversal of 38500619976 is 67991600583.

38500619976 is a `hidden beast` number, since 3 + 8 + 500 + 61 + 9 + 9 + 76 = 666.

38500619976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303154425 + ... + 303154551.

It is an arithmetic number, because the mean of its divisors is an integer number (215151552).

Almost surely, 2^38500619976 is an apocalyptic number.

38500619976 is a gapful number since it is divisible by the number (36) 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 38500619976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68848496640).

38500619976 is an abundant number, since it is smaller than the sum of its proper divisors (99196373304).

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

38500619976 is a wasteful number, since it uses less digits than its factorization.

38500619976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 38500619976 in words is "thirty-eight billion, five hundred million, six hundred nineteen thousand, nine hundred seventy-six".