38875898880 has 1056 divisors, whose sum is σ = 169383911424. Its totient is φ = 8026324992.

The previous prime is 38875898869. The next prime is 38875898881. The reversal of 38875898880 is 8889857883.

38875898880 is a `hidden beast` number, since 38 + 8 + 7 + 589 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×38875898880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38875898799 and 38875898808.

It is not an unprimeable number, because it can be changed into a prime (38875898881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306109377 + ... + 306109503.

Almost surely, 2^38875898880 is an apocalyptic number.

38875898880 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 38875898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84691955712).

38875898880 is an abundant number, since it is smaller than the sum of its proper divisors (130508012544).

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

38875898880 is a wasteful number, since it uses less digits than its factorization.

38875898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 38875898880 in words is "thirty-eight billion, eight hundred seventy-five million, eight hundred ninety-eight thousand, eight hundred eighty".