38083122000 has 1600 divisors, whose sum is σ = 177962323968. Its totient is φ = 7620480000.

The previous prime is 38083121981. The next prime is 38083122023. The reversal of 38083122000 is 22138083.

38083122000 is a `hidden beast` number, since 380 + 83 + 1 + 2 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 536381965 + ... + 536382035.

Almost surely, 2^38083122000 is an apocalyptic number.

38083122000 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 38083122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88981161984).

38083122000 is an abundant number, since it is smaller than the sum of its proper divisors (139879201968).

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

38083122000 is a wasteful number, since it uses less digits than its factorization.

38083122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38083122000 in words is "thirty-eight billion, eighty-three million, one hundred twenty-two thousand".