38771509920 has 384 divisors, whose sum is σ = 144850083840. Its totient is φ = 8593428480.

The previous prime is 38771509871. The next prime is 38771509937. The reversal of 38771509920 is 2990517783.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7341841 + ... + 7347119.

It is an arithmetic number, because the mean of its divisors is an integer number (377213760).

Almost surely, 2^38771509920 is an apocalyptic number.

38771509920 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 38771509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72425041920).

38771509920 is an abundant number, since it is smaller than the sum of its proper divisors (106078573920).

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

38771509920 is a wasteful number, since it uses less digits than its factorization.

38771509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 38771509920 in words is "thirty-eight billion, seven hundred seventy-one million, five hundred nine thousand, nine hundred twenty".