30345929570404 has 192 divisors, whose sum is σ = 70782819287040. Its totient is φ = 11068340981760.

The previous prime is 30345929570401. The next prime is 30345929570503. The reversal of 30345929570404 is 40407592954303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30345929570401) 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 63 ways as a sum of consecutive naturals, for example, 19725219 + ... + 21207925.

It is an arithmetic number, because the mean of its divisors is an integer number (368660517120).

Almost surely, 2^{30345929570404} is an apocalyptic number.

30345929570404 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 30345929570404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35391409643520).

30345929570404 is an abundant number, since it is smaller than the sum of its proper divisors (40436889716636).

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

30345929570404 is a wasteful number, since it uses less digits than its factorization.

30345929570404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482858 (or 1482856 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 55.

The spelling of 30345929570404 in words is "thirty trillion, three hundred forty-five billion, nine hundred twenty-nine million, five hundred seventy thousand, four hundred four".