30335243904 has 640 divisors, whose sum is σ = 114099321600. Its totient is φ = 7795408896.

The previous prime is 30335243903. The next prime is 30335243987. The reversal of 30335243904 is 40934253303.

It is a super-2 number, since 2×30335243904² (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 not an unprimeable number, because it can be changed into a prime (30335243903) 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 79 ways as a sum of consecutive naturals, for example, 28376682 + ... + 28377750.

It is an arithmetic number, because the mean of its divisors is an integer number (178280190).

Almost surely, 2^30335243904 is an apocalyptic number.

30335243904 is a gapful number since it is divisible by the number (34) 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 30335243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57049660800).

30335243904 is an abundant number, since it is smaller than the sum of its proper divisors (83764077696).

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

30335243904 is a wasteful number, since it uses less digits than its factorization.

30335243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 30335243904 in words is "thirty billion, three hundred thirty-five million, two hundred forty-three thousand, nine hundred four".