30380313600 has 1980 divisors, whose sum is σ = 147054744144. Its totient is φ = 6131220480.

The previous prime is 30380313599. The next prime is 30380313617. The reversal of 30380313600 is 631308303.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320883189 + ... + 1320883211.

Almost surely, 2^30380313600 is an apocalyptic number.

30380313600 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 30380313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73527372072).

30380313600 is an abundant number, since it is smaller than the sum of its proper divisors (116674430544).

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

30380313600 is a wasteful number, since it uses less digits than its factorization.

30380313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 30380313600 in words is "thirty billion, three hundred eighty million, three hundred thirteen thousand, six hundred".