8242346340 has 144 divisors (see below), whose sum is σ = 26060676096. Its totient is φ = 2106259200.

The previous prime is 8242346219. The next prime is 8242346353. The reversal of 8242346340 is 436432428.

8242346340 is a `hidden beast` number, since 82 + 4 + 234 + 6 + 340 = 666.

It is a super-2 number, since 2×8242346340² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 8242346295 and 8242346304.

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, 567570 + ... + 581910.

Almost surely, 2^8242346340 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 8242346340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030338048).

8242346340 is an abundant number, since it is smaller than the sum of its proper divisors (17818329756).

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

8242346340 is a wasteful number, since it uses less digits than its factorization.

8242346340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490 (or 14485 counting only the distinct ones).

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

The square root of 8242346340 is about 90787.3688350973. The cubic root of 8242346340 is about 2019.9949628996.

Adding to 8242346340 its reverse (436432428), we get a palindrome (8678778768).

The spelling of 8242346340 in words is "eight billion, two hundred forty-two million, three hundred forty-six thousand, three hundred forty".