30340172160 has 512 divisors, whose sum is σ = 113426611200. Its totient is φ = 7649427456.

The previous prime is 30340172147. The next prime is 30340172201. The reversal of 30340172160 is 6127104303.

30340172160 is a `hidden beast` number, since 30 + 3 + 401 + 72 + 160 = 666.

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 63 ways as a sum of consecutive naturals, for example, 38551287 + ... + 38552073.

It is an arithmetic number, because the mean of its divisors is an integer number (221536350).

Almost surely, 2^30340172160 is an apocalyptic number.

30340172160 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 30340172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56713305600).

30340172160 is an abundant number, since it is smaller than the sum of its proper divisors (83086439040).

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

30340172160 is a wasteful number, since it uses less digits than its factorization.

30340172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 30340172160 its reverse (6127104303), we get a palindrome (36467276463).

It can be divided in two parts, 30340 and 172160, that added together give a square (202500 = 450²).

The spelling of 30340172160 in words is "thirty billion, three hundred forty million, one hundred seventy-two thousand, one hundred sixty".