38284443360 has 288 divisors, whose sum is σ = 139260244032. Its totient is φ = 9544089600.

The previous prime is 38284443359. The next prime is 38284443371. The reversal of 38284443360 is 6334448283.

38284443360 is a `hidden beast` number, since 3 + 8 + 284 + 4 + 4 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3691302 + ... + 3701658.

It is an arithmetic number, because the mean of its divisors is an integer number (483542514).

Almost surely, 2^38284443360 is an apocalyptic number.

38284443360 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 38284443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69630122016).

38284443360 is an abundant number, since it is smaller than the sum of its proper divisors (100975800672).

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

38284443360 is a wasteful number, since it uses less digits than its factorization.

38284443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 38284443360 in words is "thirty-eight billion, two hundred eighty-four million, four hundred forty-three thousand, three hundred sixty".