38874952242000 has 1600 divisors, whose sum is σ = 170485434662400. Its totient is φ = 8340301209600.

The previous prime is 38874952241963. The next prime is 38874952242001. The reversal of 38874952242000 is 24225947883.

38874952242000 is a `hidden beast` number, since 3 + 8 + 8 + 74 + 9 + 522 + 42 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×38874952242000⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38874952242001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2348505724 + ... + 2348522276.

It is an arithmetic number, because the mean of its divisors is an integer number (106553396664).

Almost surely, 2^{38874952242000} is an apocalyptic number.

38874952242000 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 38874952242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85242717331200).

38874952242000 is an abundant number, since it is smaller than the sum of its proper divisors (131610482420400).

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

38874952242000 is a wasteful number, since it uses less digits than its factorization.

38874952242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16723 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38874952242000 in words is "thirty-eight trillion, eight hundred seventy-four billion, nine hundred fifty-two million, two hundred forty-two thousand".