38504851200 has 432 divisors, whose sum is σ = 141793424640. Its totient is φ = 10224414720.

The previous prime is 38504851171. The next prime is 38504851201. The reversal of 38504851200 is 215840583.

It is a happy number.

38504851200 is a `hidden beast` number, since 3 + 8 + 50 + 485 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38504851201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76550149 + ... + 76550651.

It is an arithmetic number, because the mean of its divisors is an integer number (328225520).

Almost surely, 2^38504851200 is an apocalyptic number.

38504851200 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 38504851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70896712320).

38504851200 is an abundant number, since it is smaller than the sum of its proper divisors (103288573440).

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

38504851200 is a wasteful number, since it uses less digits than its factorization.

38504851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 38504851200 in words is "thirty-eight billion, five hundred four million, eight hundred fifty-one thousand, two hundred".