30434311224 has 128 divisors (see below), whose sum is σ = 86913964800. Its totient is φ = 9860434560.

The previous prime is 30434311199. The next prime is 30434311277. The reversal of 30434311224 is 42211343403.

30434311224 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 431 + 1 + 224 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14280639 + ... + 14282769.

It is an arithmetic number, because the mean of its divisors is an integer number (679015350).

Almost surely, 2^30434311224 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 30434311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456982400).

30434311224 is an abundant number, since it is smaller than the sum of its proper divisors (56479653576).

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

30434311224 is a wasteful number, since it uses less digits than its factorization.

30434311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30434311224 its reverse (42211343403), we get a palindrome (72645654627).

The spelling of 30434311224 in words is "thirty billion, four hundred thirty-four million, three hundred eleven thousand, two hundred twenty-four".