30285320832 has 384 divisors, whose sum is σ = 97990074000. Its totient is φ = 8914010112.

The previous prime is 30285320831. The next prime is 30285320839. The reversal of 30285320832 is 23802358203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16051876416 + 14233444416 = 126696^2 + 119304^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×30285320832³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30285320831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59499394 + ... + 59499902.

Almost surely, 2^30285320832 is an apocalyptic number.

30285320832 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 30285320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995037000).

30285320832 is an abundant number, since it is smaller than the sum of its proper divisors (67704753168).

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

30285320832 is a wasteful number, since it uses less digits than its factorization.

30285320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30285320832 in words is "thirty billion, two hundred eighty-five million, three hundred twenty thousand, eight hundred thirty-two".