30045092832 has 480 divisors, whose sum is σ = 96857716032. Its totient is φ = 9109241856.

The previous prime is 30045092797. The next prime is 30045092837. The reversal of 30045092832 is 23829054003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045092837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116906848 + ... + 116907104.

Almost surely, 2^30045092832 is an apocalyptic number.

30045092832 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 30045092832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48428858016).

30045092832 is an abundant number, since it is smaller than the sum of its proper divisors (66812623200).

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

30045092832 is a wasteful number, since it uses less digits than its factorization.

30045092832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30045092832 in words is "thirty billion, forty-five million, ninety-two thousand, eight hundred thirty-two".