38108736960 has 224 divisors, whose sum is σ = 139551582720. Its totient is φ = 8630489088.

The previous prime is 38108736937. The next prime is 38108736979. The reversal of 38108736960 is 6963780183.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 706467 + ... + 758493.

Almost surely, 2^38108736960 is an apocalyptic number.

38108736960 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 38108736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69775791360).

38108736960 is an abundant number, since it is smaller than the sum of its proper divisors (101442845760).

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

38108736960 is a wasteful number, since it uses less digits than its factorization.

38108736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52163 (or 52153 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 38108736960 in words is "thirty-eight billion, one hundred eight million, seven hundred thirty-six thousand, nine hundred sixty".