38874061117500 has 480 divisors, whose sum is σ = 138000644457984. Its totient is φ = 8311486464000.

The previous prime is 38874061117499. The next prime is 38874061117531. The reversal of 38874061117500 is 571116047883.

It is a super-3 number, since 3×38874061117500³ (a number of 42 digits) contains 333 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145343892 + ... + 145611108.

Almost surely, 2^{38874061117500} is an apocalyptic number.

38874061117500 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 38874061117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69000322228992).

38874061117500 is an abundant number, since it is smaller than the sum of its proper divisors (99126583340484).

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

38874061117500 is a wasteful number, since it uses less digits than its factorization.

38874061117500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267431 (or 267414 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 38874061117500 in words is "thirty-eight trillion, eight hundred seventy-four billion, sixty-one million, one hundred seventeen thousand, five hundred".