30813804000 has 384 divisors, whose sum is σ = 128188569600. Its totient is φ = 7042982400.

The previous prime is 30813803971. The next prime is 30813804011. The reversal of 30813804000 is 40831803.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 735621 + ... + 776379.

It is an arithmetic number, because the mean of its divisors is an integer number (333824400).

Almost surely, 2^30813804000 is an apocalyptic number.

30813804000 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 30813804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64094284800).

30813804000 is an abundant number, since it is smaller than the sum of its proper divisors (97374765600).

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

30813804000 is a wasteful number, since it uses less digits than its factorization.

30813804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40800 (or 40776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 30813804000 in words is "thirty billion, eight hundred thirteen million, eight hundred four thousand".