38426823640800 has 288 divisors, whose sum is σ = 158830871673600. Its totient is φ = 8783273940480.

The previous prime is 38426823640781. The next prime is 38426823640823. The reversal of 38426823640800 is 804632862483.

38426823640800 is a `hidden beast` number, since 3 + 8 + 426 + 82 + 3 + 64 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38426823640800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126921630 + ... + 127224029.

It is an arithmetic number, because the mean of its divisors is an integer number (551496082200).

Almost surely, 2^{38426823640800} is an apocalyptic number.

38426823640800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38426823640800 is an abundant number, since it is smaller than the sum of its proper divisors (120404048032800).

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

38426823640800 is a wasteful number, since it uses less digits than its factorization.

38426823640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254145695 (or 254145676 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 38426823640800 in words is "thirty-eight trillion, four hundred twenty-six billion, eight hundred twenty-three million, six hundred forty thousand, eight hundred".