38282617612800 has 4800 divisors, whose sum is σ = 173285109043200. Its totient is φ = 8241315840000.

The previous prime is 38282617612753. The next prime is 38282617612807. The reversal of 38282617612800 is 821671628283.

38282617612800 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 2 + 6 + 17 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×38282617612800² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38282617612807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 275414515131 + ... + 275414515269.

It is an arithmetic number, because the mean of its divisors is an integer number (36101064384).

Almost surely, 2^{38282617612800} is an apocalyptic number.

38282617612800 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 38282617612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86642554521600).

38282617612800 is an abundant number, since it is smaller than the sum of its proper divisors (135002491430400).

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

38282617612800 is a wasteful number, since it uses less digits than its factorization.

38282617612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 38282617612800 in words is "thirty-eight trillion, two hundred eighty-two billion, six hundred seventeen million, six hundred twelve thousand, eight hundred".