8234634240 has 528 divisors, whose sum is σ = 33338260800. Its totient is φ = 1878589440.

The previous prime is 8234634209. The next prime is 8234634241. The reversal of 8234634240 is 424364328.

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

It is a junction number, because it is equal to n+sod(n) for n = 8234634195 and 8234634204.

It is not an unprimeable number, because it can be changed into a prime (8234634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15805180 + ... + 15805700.

Almost surely, 2^8234634240 is an apocalyptic number.

8234634240 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 8234634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669130400).

8234634240 is an abundant number, since it is smaller than the sum of its proper divisors (25103626560).

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

8234634240 is a wasteful number, since it uses less digits than its factorization.

8234634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 8234634240 is about 90744.8854757115. The cubic root of 8234634240 is about 2019.3647513969.

Adding to 8234634240 its reverse (424364328), we get a palindrome (8658998568).

The spelling of 8234634240 in words is "eight billion, two hundred thirty-four million, six hundred thirty-four thousand, two hundred forty".