34320274560 has 2048 divisors, whose sum is σ = 162860544000. Its totient is φ = 6688604160.

The previous prime is 34320274523. The next prime is 34320274567. The reversal of 34320274560 is 6547202343.

34320274560 is a `hidden beast` number, since 3 + 4 + 3 + 20 + 2 + 74 + 560 = 666.

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 (34320274567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 798145899 + ... + 798145941.

It is an arithmetic number, because the mean of its divisors is an integer number (79521750).

Almost surely, 2^34320274560 is an apocalyptic number.

34320274560 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 34320274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81430272000).

34320274560 is an abundant number, since it is smaller than the sum of its proper divisors (128540269440).

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

34320274560 is a wasteful number, since it uses less digits than its factorization.

34320274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34320274560 in words is "thirty-four billion, three hundred twenty million, two hundred seventy-four thousand, five hundred sixty".