8004257352 has 320 divisors, whose sum is σ = 27808704000. Its totient is φ = 2094543360.

The previous prime is 8004257351. The next prime is 8004257363. The reversal of 8004257352 is 2537524008.

8004257352 is a `hidden beast` number, since 80 + 0 + 4 + 2 + 573 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8004257351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8785777 + ... + 8786687.

It is an arithmetic number, because the mean of its divisors is an integer number (86902200).

Almost surely, 2^8004257352 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 8004257352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904352000).

8004257352 is an abundant number, since it is smaller than the sum of its proper divisors (19804446648).

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

8004257352 is a wasteful number, since it uses less digits than its factorization.

8004257352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 8004257352 is about 89466.5152557089. The cubic root of 8004257352 is about 2000.3547164177.

It can be divided in two parts, 8004 and 257352, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 8004257352 in words is "eight billion, four million, two hundred fifty-seven thousand, three hundred fifty-two".