38336460960 has 192 divisors, whose sum is σ = 138892223232. Its totient is φ = 8706686976.

The previous prime is 38336460923. The next prime is 38336460971. The reversal of 38336460960 is 6906463383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 491184 + ... + 563856.

It is an arithmetic number, because the mean of its divisors is an integer number (723396996).

Almost surely, 2^38336460960 is an apocalyptic number.

38336460960 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 38336460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69446111616).

38336460960 is an abundant number, since it is smaller than the sum of its proper divisors (100555762272).

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

38336460960 is a wasteful number, since it uses less digits than its factorization.

38336460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72855 (or 72847 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 38336460960 in words is "thirty-eight billion, three hundred thirty-six million, four hundred sixty thousand, nine hundred sixty".