38417871360 has 320 divisors, whose sum is σ = 135621319680. Its totient is φ = 9199534080.

The previous prime is 38417871337. The next prime is 38417871383. The reversal of 38417871360 is 6317871483.

It is an interprime number because it is at equal distance from previous prime (38417871337) and next prime (38417871383).

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7009101 + ... + 7014579.

It is an arithmetic number, because the mean of its divisors is an integer number (423816624).

Almost surely, 2^38417871360 is an apocalyptic number.

38417871360 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 38417871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67810659840).

38417871360 is an abundant number, since it is smaller than the sum of its proper divisors (97203448320).

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

38417871360 is a wasteful number, since it uses less digits than its factorization.

38417871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 38417871360 in words is "thirty-eight billion, four hundred seventeen million, eight hundred seventy-one thousand, three hundred sixty".