30330366900 has 144 divisors (see below), whose sum is σ = 92455124160. Its totient is φ = 7655731200.

The previous prime is 30330366889. The next prime is 30330366901. The reversal of 30330366900 is 966303303.

It is a super-2 number, since 2×30330366900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330366901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11860422 + ... + 11862978.

Almost surely, 2^30330366900 is an apocalyptic number.

30330366900 is a gapful number since it is divisible by the number (30) 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 30330366900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46227562080).

30330366900 is an abundant number, since it is smaller than the sum of its proper divisors (62124757260).

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

30330366900 is a wasteful number, since it uses less digits than its factorization.

30330366900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 33.

The spelling of 30330366900 in words is "thirty billion, three hundred thirty million, three hundred sixty-six thousand, nine hundred".