30442064832 has 168 divisors, whose sum is σ = 92661674976. Its totient is φ = 9522315264.

The previous prime is 30442064819. The next prime is 30442064843. The reversal of 30442064832 is 23846024403.

30442064832 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 2 + 0 + 648 + 3 + 2 = 666.

It is a super-2 number, since 2×30442064832² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3452173 + ... + 3460979.

Almost surely, 2^30442064832 is an apocalyptic number.

30442064832 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 30442064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46330837488).

30442064832 is an abundant number, since it is smaller than the sum of its proper divisors (62219610144).

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

30442064832 is a wasteful number, since it uses less digits than its factorization.

30442064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 30442064832 in words is "thirty billion, four hundred forty-two million, sixty-four thousand, eight hundred thirty-two".