30872904300 has 576 divisors, whose sum is σ = 120408960000. Its totient is φ = 6628884480.

The previous prime is 30872904299. The next prime is 30872904331. The reversal of 30872904300 is 340927803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53505612 + ... + 53506188.

Almost surely, 2^30872904300 is an apocalyptic number.

30872904300 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 30872904300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60204480000).

30872904300 is an abundant number, since it is smaller than the sum of its proper divisors (89536055700).

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

30872904300 is a wasteful number, since it uses less digits than its factorization.

30872904300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30872904300 in words is "thirty billion, eight hundred seventy-two million, nine hundred four thousand, three hundred".