34482792960 has 1920 divisors, whose sum is σ = 167189299200. Its totient is φ = 6569164800.

The previous prime is 34482792901. The next prime is 34482792973. The reversal of 34482792960 is 6929728443.

34482792960 is a `hidden beast` number, since 3 + 4 + 482 + 79 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34482792897 and 34482792906.

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, 1112348145 + ... + 1112348175.

It is an arithmetic number, because the mean of its divisors is an integer number (87077760).

Almost surely, 2^34482792960 is an apocalyptic number.

34482792960 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 34482792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83594649600).

34482792960 is an abundant number, since it is smaller than the sum of its proper divisors (132706506240).

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

34482792960 is a wasteful number, since it uses less digits than its factorization.

34482792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34482792960 in words is "thirty-four billion, four hundred eighty-two million, seven hundred ninety-two thousand, nine hundred sixty".