38122870968000 has 4480 divisors, whose sum is σ = 181077599678976. Its totient is φ = 7703838720000.

The previous prime is 38122870967971. The next prime is 38122870968019. The reversal of 38122870968000 is 86907822183.

It is a happy number.

38122870968000 is a `hidden beast` number, since 381 + 22 + 87 + 0 + 96 + 80 + 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 (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 220363415914 + ... + 220363416086.

Almost surely, 2^{38122870968000} is an apocalyptic number.

38122870968000 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 38122870968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90538799839488).

38122870968000 is an abundant number, since it is smaller than the sum of its proper divisors (142954728710976).

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

38122870968000 is a wasteful number, since it uses less digits than its factorization.

38122870968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 38122870968000 in words is "thirty-eight trillion, one hundred twenty-two billion, eight hundred seventy million, nine hundred sixty-eight thousand".