38243674881216 has 672 divisors, whose sum is σ = 132208571109888. Its totient is φ = 10734582620160.

The previous prime is 38243674881187. The next prime is 38243674881227. The reversal of 38243674881216 is 61218847634283.

38243674881216 is a `hidden beast` number, since 3 + 8 + 2 + 436 + 74 + 8 + 8 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6328587891 + ... + 6328593933.

It is an arithmetic number, because the mean of its divisors is an integer number (196738945104).

Almost surely, 2^{38243674881216} is an apocalyptic number.

38243674881216 is a gapful number since it is divisible by the number (36) 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 38243674881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104285554944).

38243674881216 is an abundant number, since it is smaller than the sum of its proper divisors (93964896228672).

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

38243674881216 is an equidigital number, since it uses as much as digits as its factorization.

38243674881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7069 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 38243674881216 in words is "thirty-eight trillion, two hundred forty-three billion, six hundred seventy-four million, eight hundred eighty-one thousand, two hundred sixteen".