38665381194720 has 5376 divisors, whose sum is σ = 182309193400320. Its totient is φ = 7546178764800.

The previous prime is 38665381194719. The next prime is 38665381194733. The reversal of 38665381194720 is 2749118356683.

38665381194720 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 538 + 1 + 1 + 94 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 729535494214 + ... + 729535494266.

It is an arithmetic number, because the mean of its divisors is an integer number (33911680320).

It is a 1-persistent number, because it is pandigital, but 2⋅38665381194720 = 77330762389440 is not.

Almost surely, 2^{38665381194720} is an apocalyptic number.

38665381194720 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 38665381194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91154596700160).

38665381194720 is an abundant number, since it is smaller than the sum of its proper divisors (143643812205600).

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

38665381194720 is a wasteful number, since it uses less digits than its factorization.

38665381194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38665381194720 in words is "thirty-eight trillion, six hundred sixty-five billion, three hundred eighty-one million, one hundred ninety-four thousand, seven hundred twenty".