38046528000 has 480 divisors, whose sum is σ = 147606771312. Its totient is φ = 9363456000.

The previous prime is 38046527929. The next prime is 38046528029. The reversal of 38046528000 is 82564083.

It can be written as a sum of positive squares in 8 ways, for example, as 1788274944 + 36258253056 = 42288^2 + 190416^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7485460 + ... + 7490540.

Almost surely, 2^38046528000 is an apocalyptic number.

38046528000 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 38046528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73803385656).

38046528000 is an abundant number, since it is smaller than the sum of its proper divisors (109560243312).

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

38046528000 is a wasteful number, since it uses less digits than its factorization.

38046528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38046528000 in words is "thirty-eight billion, forty-six million, five hundred twenty-eight thousand".