34313223240 has 192 divisors, whose sum is σ = 115808434560. Its totient is φ = 9137525760.

The previous prime is 34313223209. The next prime is 34313223253. The reversal of 34313223240 is 4232231343.

34313223240 is a `hidden beast` number, since 3 + 4 + 313 + 22 + 324 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8561317 + ... + 8565323.

It is an arithmetic number, because the mean of its divisors is an integer number (603168930).

Almost surely, 2^34313223240 is an apocalyptic number.

34313223240 is a gapful number since it is divisible by the number (30) 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 34313223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57904217280).

34313223240 is an abundant number, since it is smaller than the sum of its proper divisors (81495211320).

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

34313223240 is a wasteful number, since it uses less digits than its factorization.

34313223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34313223240 its reverse (4232231343), we get a palindrome (38545454583).

The spelling of 34313223240 in words is "thirty-four billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred forty".