38271467520 has 960 divisors, whose sum is σ = 161182183680. Its totient is φ = 8564244480.

The previous prime is 38271467503. The next prime is 38271467551. The reversal of 38271467520 is 2576417283.

38271467520 is a `hidden beast` number, since 3 + 82 + 7 + 1 + 46 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×38271467520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2943959034 + ... + 2943959046.

It is an arithmetic number, because the mean of its divisors is an integer number (167898108).

Almost surely, 2^38271467520 is an apocalyptic number.

38271467520 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 38271467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80591091840).

38271467520 is an abundant number, since it is smaller than the sum of its proper divisors (122910716160).

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

38271467520 is an equidigital number, since it uses as much as digits as its factorization.

38271467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38271467520 in words is "thirty-eight billion, two hundred seventy-one million, four hundred sixty-seven thousand, five hundred twenty".