30032320032 has 216 divisors, whose sum is σ = 101096891532. Its totient is φ = 8400522240.

The previous prime is 30032320013. The next prime is 30032320103. The reversal of 30032320032 is 23002323003.

It can be written as a sum of positive squares in 2 ways, for example, as 26232337296 + 3799982736 = 161964^2 + 61644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30032319987 and 30032320014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419878 + ... + 486170.

Almost surely, 2^30032320032 is an apocalyptic number.

30032320032 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 30032320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50548445766).

30032320032 is an abundant number, since it is smaller than the sum of its proper divisors (71064571500).

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

30032320032 is a wasteful number, since it uses less digits than its factorization.

30032320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66344 (or 66322 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30032320032 its reverse (23002323003), we get a palindrome (53034643035).

The spelling of 30032320032 in words is "thirty billion, thirty-two million, three hundred twenty thousand, thirty-two".