30504224352 has 384 divisors, whose sum is σ = 100541564928. Its totient is φ = 7907328000.

The previous prime is 30504224341. The next prime is 30504224423. The reversal of 30504224352 is 25342240503.

It is a super-3 number, since 3×30504224352³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23446102 + ... + 23447402.

It is an arithmetic number, because the mean of its divisors is an integer number (261826992).

Almost surely, 2^30504224352 is an apocalyptic number.

30504224352 is a gapful number since it is divisible by the number (32) 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 30504224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270782464).

30504224352 is an abundant number, since it is smaller than the sum of its proper divisors (70037340576).

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

30504224352 is a wasteful number, since it uses less digits than its factorization.

30504224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 30504224352 its reverse (25342240503), we get a palindrome (55846464855).

The spelling of 30504224352 in words is "thirty billion, five hundred four million, two hundred twenty-four thousand, three hundred fifty-two".