34312823424 has 640 divisors, whose sum is σ = 118293626880. Its totient is φ = 9771632640.

The previous prime is 34312823417. The next prime is 34312823471. The reversal of 34312823424 is 42432821343.

34312823424 is a `hidden beast` number, since 3 + 4 + 31 + 282 + 342 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 270179649 + ... + 270179775.

It is an arithmetic number, because the mean of its divisors is an integer number (184833792).

Almost surely, 2^34312823424 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 34312823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59146813440).

34312823424 is an abundant number, since it is smaller than the sum of its proper divisors (83980803456).

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

34312823424 is a wasteful number, since it uses less digits than its factorization.

34312823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

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

The spelling of 34312823424 in words is "thirty-four billion, three hundred twelve million, eight hundred twenty-three thousand, four hundred twenty-four".