30673404300 has 576 divisors, whose sum is σ = 123352104960. Its totient is φ = 5681664000.

The previous prime is 30673404263. The next prime is 30673404301. The reversal of 30673404300 is 340437603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30673404301) 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 191 ways as a sum of consecutive naturals, for example, 7459245 + ... + 7463355.

It is an arithmetic number, because the mean of its divisors is an integer number (214152960).

Almost surely, 2^30673404300 is an apocalyptic number.

30673404300 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 30673404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61676052480).

30673404300 is an abundant number, since it is smaller than the sum of its proper divisors (92678700660).

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

30673404300 is a wasteful number, since it uses less digits than its factorization.

30673404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

30673404300 divided by its sum of digits (30) gives a triangular number (1022446810 = T₄₅₂₂₀).

The spelling of 30673404300 in words is "thirty billion, six hundred seventy-three million, four hundred four thousand, three hundred".