38001529008 has 240 divisors, whose sum is σ = 113205924000. Its totient is φ = 11881132032.

The previous prime is 38001528991. The next prime is 38001529079. The reversal of 38001529008 is 80092510083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21927310 + ... + 21929042.

It is an arithmetic number, because the mean of its divisors is an integer number (471691350).

Almost surely, 2^38001529008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38001529008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56602962000).

38001529008 is an abundant number, since it is smaller than the sum of its proper divisors (75204394992).

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

38001529008 is a wasteful number, since it uses less digits than its factorization.

38001529008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

It can be divided in two parts, 38001 and 529008, that added together give a square (567009 = 753²).

The spelling of 38001529008 in words is "thirty-eight billion, one million, five hundred twenty-nine thousand, eight".