38317006990080 has 1152 divisors, whose sum is σ = 167488486502400. Its totient is φ = 8077795393536.

The previous prime is 38317006990061. The next prime is 38317006990091. The reversal of 38317006990080 is 8009960071383.

38317006990080 is a `hidden beast` number, since 383 + 170 + 0 + 6 + 9 + 90 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38317006989999 and 38317006990026.

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, 4431244317 + ... + 4431252963.

It is an arithmetic number, because the mean of its divisors is an integer number (145389311200).

Almost surely, 2^{38317006990080} is an apocalyptic number.

38317006990080 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 38317006990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83744243251200).

38317006990080 is an abundant number, since it is smaller than the sum of its proper divisors (129171479512320).

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

38317006990080 is a wasteful number, since it uses less digits than its factorization.

38317006990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 38317006990080 in words is "thirty-eight trillion, three hundred seventeen billion, six million, nine hundred ninety thousand, eighty".