38764845000 has 1280 divisors, whose sum is σ = 172744704000. Its totient is φ = 7838208000.

The previous prime is 38764844999. The next prime is 38764845013. The reversal of 38764845000 is 54846783.

38764845000 is a `hidden beast` number, since 3 + 8 + 7 + 64 + 84 + 500 + 0 = 666.

It is a super-3 number, since 3×38764845000³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 319 ways as a sum of consecutive naturals, for example, 305234937 + ... + 305235063.

It is an arithmetic number, because the mean of its divisors is an integer number (134956800).

Almost surely, 2^38764845000 is an apocalyptic number.

38764845000 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 38764845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86372352000).

38764845000 is an abundant number, since it is smaller than the sum of its proper divisors (133979859000).

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

38764845000 is a wasteful number, since it uses less digits than its factorization.

38764845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38764845000 in words is "thirty-eight billion, seven hundred sixty-four million, eight hundred forty-five thousand".