38789020800 has 576 divisors, whose sum is σ = 145505374560. Its totient is φ = 10202112000.

The previous prime is 38789020799. The next prime is 38789020817. The reversal of 38789020800 is 802098783.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64540500 + ... + 64541100.

Almost surely, 2^38789020800 is an apocalyptic number.

38789020800 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 38789020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72752687280).

38789020800 is an abundant number, since it is smaller than the sum of its proper divisors (106716353760).

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

38789020800 is an equidigital number, since it uses as much as digits as its factorization.

38789020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 38789020800 in words is "thirty-eight billion, seven hundred eighty-nine million, twenty thousand, eight hundred".