8138884320 has 288 divisors, whose sum is σ = 33137748000. Its totient is φ = 1860268032.

The previous prime is 8138884319. The next prime is 8138884321. The reversal of 8138884320 is 234888318.

8138884320 is a `hidden beast` number, since 8 + 138 + 88 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8138884319) and next prime (8138884321).

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

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138884321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192456 + ... + 230904.

It is an arithmetic number, because the mean of its divisors is an integer number (115061625).

Almost surely, 2^8138884320 is an apocalyptic number.

8138884320 is a gapful number since it is divisible by the number (80) 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 8138884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568874000).

8138884320 is an abundant number, since it is smaller than the sum of its proper divisors (24998863680).

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

8138884320 is a wasteful number, since it uses less digits than its factorization.

8138884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38487 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8138884320 is about 90215.7653628234. The cubic root of 8138884320 is about 2011.5073567210.

The spelling of 8138884320 in words is "eight billion, one hundred thirty-eight million, eight hundred eighty-four thousand, three hundred twenty".