38906092368000 has 6144 divisors, whose sum is σ = 186825719808000. Its totient is φ = 7900913664000.

The previous prime is 38906092367851. The next prime is 38906092368037. The reversal of 38906092368000 is 86329060983.

38906092368000 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 609 + 23 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 306347183937 + ... + 306347184063.

It is an arithmetic number, because the mean of its divisors is an integer number (30407832000).

Almost surely, 2^{38906092368000} is an apocalyptic number.

38906092368000 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 38906092368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93412859904000).

38906092368000 is an abundant number, since it is smaller than the sum of its proper divisors (147919627440000).

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

38906092368000 is a wasteful number, since it uses less digits than its factorization.

38906092368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 38906092368000 in words is "thirty-eight trillion, nine hundred six billion, ninety-two million, three hundred sixty-eight thousand".