38823057000 has 1280 divisors, whose sum is σ = 175048473600. Its totient is φ = 7800883200.

The previous prime is 38823056971. The next prime is 38823057017. The reversal of 38823057000 is 75032883.

38823057000 = T₂₉₁₆₅ + T₂₉₁₆₆ + ... + T₂₉₂₅₅.

38823057000 is a `hidden beast` number, since 3 + 8 + 82 + 3 + 0 + 570 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 169532886 + ... + 169533114.

It is an arithmetic number, because the mean of its divisors is an integer number (136756620).

Almost surely, 2^38823057000 is an apocalyptic number.

38823057000 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 38823057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87524236800).

38823057000 is an abundant number, since it is smaller than the sum of its proper divisors (136225416600).

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

38823057000 is a wasteful number, since it uses less digits than its factorization.

38823057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 38823057000 its reverse (75032883), we get a palindrome (38898089883).

The spelling of 38823057000 in words is "thirty-eight billion, eight hundred twenty-three million, fifty-seven thousand".