38273701816800 has 216 divisors, whose sum is σ = 134999841629016. Its totient is φ = 10203507256320.

The previous prime is 38273701816769. The next prime is 38273701816811. The reversal of 38273701816800 is 861810737283.

38273701816800 is a `hidden beast` number, since 38 + 2 + 7 + 370 + 181 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×38273701816800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25455607 + ... + 26917193.

It is an arithmetic number, because the mean of its divisors is an integer number (624999266801).

Almost surely, 2^{38273701816800} is an apocalyptic number.

38273701816800 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 38273701816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67499920814508).

38273701816800 is an abundant number, since it is smaller than the sum of its proper divisors (96726139812216).

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

38273701816800 is a wasteful number, since it uses less digits than its factorization.

38273701816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465250 (or 1465234 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 38273701816800 in words is "thirty-eight trillion, two hundred seventy-three billion, seven hundred one million, eight hundred sixteen thousand, eight hundred".