38090422656000 has 2112 divisors, whose sum is σ = 164033439897600. Its totient is φ = 8377122816000.

The previous prime is 38090422655981. The next prime is 38090422656047. The reversal of 38090422656000 is 65622409083.

38090422656000 is a `hidden beast` number, since 3 + 80 + 9 + 0 + 4 + 2 + 2 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×38090422656000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9719422041 + ... + 9719425959.

Almost surely, 2^{38090422656000} is an apocalyptic number.

38090422656000 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 38090422656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82016719948800).

38090422656000 is an abundant number, since it is smaller than the sum of its proper divisors (125943017241600).

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

38090422656000 is a wasteful number, since it uses less digits than its factorization.

38090422656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38090422656000 in words is "thirty-eight trillion, ninety billion, four hundred twenty-two million, six hundred fifty-six thousand".