38699146800 has 720 divisors, whose sum is σ = 156296424960. Its totient is φ = 8795381760.

The previous prime is 38699146799. The next prime is 38699146853. The reversal of 38699146800 is 864199683.

38699146800 is a `hidden beast` number, since 38 + 69 + 91 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 26743677 + ... + 26745123.

It is an arithmetic number, because the mean of its divisors is an integer number (217078368).

Almost surely, 2^38699146800 is an apocalyptic number.

38699146800 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 38699146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78148212480).

38699146800 is an abundant number, since it is smaller than the sum of its proper divisors (117597278160).

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

38699146800 is a wasteful number, since it uses less digits than its factorization.

38699146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38699146800 in words is "thirty-eight billion, six hundred ninety-nine million, one hundred forty-six thousand, eight hundred".