34224954624 has 180 divisors, whose sum is σ = 116632062624. Its totient is φ = 9778516992.

The previous prime is 34224954553. The next prime is 34224954641. The reversal of 34224954624 is 42645942243.

34224954624 is a `hidden beast` number, since 3 + 42 + 2 + 49 + 546 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34224954624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27259 + ... + 263045.

Almost surely, 2^34224954624 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 34224954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58316031312).

34224954624 is an abundant number, since it is smaller than the sum of its proper divisors (82407108000).

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

34224954624 is an equidigital number, since it uses as much as digits as its factorization.

34224954624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235822 (or 235799 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 34224954624 in words is "thirty-four billion, two hundred twenty-four million, nine hundred fifty-four thousand, six hundred twenty-four".