38800631950080 has 1152 divisors, whose sum is σ = 169922273181696. Its totient is φ = 7283898777600.

The previous prime is 38800631950057. The next prime is 38800631950099. The reversal of 38800631950080 is 8005913600883.

It is a super-2 number, since 2×38800631950080² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180553095 + ... + 180767865.

It is an arithmetic number, because the mean of its divisors is an integer number (147501973248).

Almost surely, 2^{38800631950080} is an apocalyptic number.

38800631950080 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 38800631950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84961136590848).

38800631950080 is an abundant number, since it is smaller than the sum of its proper divisors (131121641231616).

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

38800631950080 is a wasteful number, since it uses less digits than its factorization.

38800631950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214873 (or 214859 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 38800631950080 in words is "thirty-eight trillion, eight hundred billion, six hundred thirty-one million, nine hundred fifty thousand, eighty".