38897784900 has 288 divisors, whose sum is σ = 135940049280. Its totient is φ = 9484439040.

The previous prime is 38897784889. The next prime is 38897784923. The reversal of 38897784900 is 948779883.

38897784900 is a `hidden beast` number, since 388 + 97 + 7 + 84 + 90 + 0 = 666.

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, 3750522 + ... + 3760878.

It is an arithmetic number, because the mean of its divisors is an integer number (472014060).

Almost surely, 2^38897784900 is an apocalyptic number.

38897784900 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 38897784900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970024640).

38897784900 is an abundant number, since it is smaller than the sum of its proper divisors (97042264380).

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

38897784900 is a wasteful number, since it uses less digits than its factorization.

38897784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 38897784900 in words is "thirty-eight billion, eight hundred ninety-seven million, seven hundred eighty-four thousand, nine hundred".