30348427264 has 45 divisors (see below), whose sum is σ = 60739630861. Its totient is φ = 15163064320.

The previous prime is 30348427243. The next prime is 30348427271. The reversal of 30348427264 is 46272484303.

The square root of 30348427264 is 174208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5156388864 + 25192038400 = 71808^2 + 158720^2 .

It is a super-3 number, since 3×30348427264³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30348427264.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22297944 + ... + 22299304.

Almost surely, 2^30348427264 is an apocalyptic number.

30348427264 is the 174208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30348427264

30348427264 is an abundant number, since it is smaller than the sum of its proper divisors (30391203597).

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

30348427264 is an frugal number, since it uses more digits than its factorization.

30348427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 30348427264 in words is "thirty billion, three hundred forty-eight million, four hundred twenty-seven thousand, two hundred sixty-four".