38006946432 has 576 divisors, whose sum is σ = 138321106560. Its totient is φ = 9957427200.

The previous prime is 38006946403. The next prime is 38006946433. The reversal of 38006946432 is 23464960083.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×38006946432³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38006946433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251701557 + ... + 251701707.

It is an arithmetic number, because the mean of its divisors is an integer number (240140810).

Almost surely, 2^38006946432 is an apocalyptic number.

38006946432 is a gapful number since it is divisible by the number (32) 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 38006946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69160553280).

38006946432 is an abundant number, since it is smaller than the sum of its proper divisors (100314160128).

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

38006946432 is an equidigital number, since it uses as much as digits as its factorization.

38006946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 38006946432 in words is "thirty-eight billion, six million, nine hundred forty-six thousand, four hundred thirty-two".