38322629856000 has 864 divisors, whose sum is σ = 159494864675328. Its totient is φ = 8653884825600.

The previous prime is 38322629855999. The next prime is 38322629856019. The reversal of 38322629856000 is 65892622383.

38322629856000 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 2 + 6 + 29 + 8 + 5 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167213487 + ... + 167442513.

Almost surely, 2^{38322629856000} is an apocalyptic number.

38322629856000 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 38322629856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79747432337664).

38322629856000 is an abundant number, since it is smaller than the sum of its proper divisors (121172234819328).

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

38322629856000 is a wasteful number, since it uses less digits than its factorization.

38322629856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229154 (or 229127 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38322629856000 in words is "thirty-eight trillion, three hundred twenty-two billion, six hundred twenty-nine million, eight hundred fifty-six thousand".