8347540032 has 252 divisors, whose sum is σ = 26811282420. Its totient is φ = 2479067136.

The previous prime is 8347540027. The next prime is 8347540057. The reversal of 8347540032 is 2300457438.

It is a happy number.

8347540032 is a `hidden beast` number, since 83 + 4 + 7 + 540 + 0 + 32 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2267283456 + 6080256576 = 47616^2 + 77976^2 .

It is a super-2 number, since 2×8347540032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2821498 + ... + 2824454.

Almost surely, 2^8347540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8347540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405641210).

8347540032 is an abundant number, since it is smaller than the sum of its proper divisors (18463742388).

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

8347540032 is a wasteful number, since it uses less digits than its factorization.

8347540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 8347540032 is about 91364.8730749406. The cubic root of 8347540032 is about 2028.5521179182.

The spelling of 8347540032 in words is "eight billion, three hundred forty-seven million, five hundred forty thousand, thirty-two".