30738113280 has 720 divisors, whose sum is σ = 128889440064. Its totient is φ = 6847856640.

The previous prime is 30738113191. The next prime is 30738113281. The reversal of 30738113280 is 8231183703.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×30738113280² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30738113281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29755644 + ... + 29756676.

Almost surely, 2^30738113280 is an apocalyptic number.

30738113280 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 30738113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64444720032).

30738113280 is an abundant number, since it is smaller than the sum of its proper divisors (98151326784).

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

30738113280 is a wasteful number, since it uses less digits than its factorization.

30738113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 30738113280 its reverse (8231183703), we get a palindrome (38969296983).

The spelling of 30738113280 in words is "thirty billion, seven hundred thirty-eight million, one hundred thirteen thousand, two hundred eighty".