38922024960000 has 5400 divisors, whose sum is σ = 192196801898640. Its totient is φ = 7729053696000.

The previous prime is 38922024959977. The next prime is 38922024960041. The reversal of 38922024960000 is 6942022983.

38922024960000 is a `hidden beast` number, since 38 + 9 + 2 + 2 + 0 + 2 + 4 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2289530879992 + ... + 2289530880008.

Almost surely, 2^{38922024960000} is an apocalyptic number.

38922024960000 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 38922024960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96098400949320).

38922024960000 is an abundant number, since it is smaller than the sum of its proper divisors (153274776938640).

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

38922024960000 is an equidigital number, since it uses as much as digits as its factorization.

38922024960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 38922024960000 its reverse (6942022983), we get a palindrome (38928966982983).

The spelling of 38922024960000 in words is "thirty-eight trillion, nine hundred twenty-two billion, twenty-four million, nine hundred sixty thousand".