34248130560 has 816 divisors, whose sum is σ = 143444102400. Its totient is φ = 7729053696.

The previous prime is 34248130547. The next prime is 34248130561. The reversal of 34248130560 is 6503184243.

34248130560 is a `hidden beast` number, since 3 + 42 + 48 + 13 + 0 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34248130561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433520601 + ... + 433520679.

Almost surely, 2^34248130560 is an apocalyptic number.

34248130560 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 34248130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71722051200).

34248130560 is an abundant number, since it is smaller than the sum of its proper divisors (109195971840).

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

34248130560 is an frugal number, since it uses more digits than its factorization.

34248130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34248130560 in words is "thirty-four billion, two hundred forty-eight million, one hundred thirty thousand, five hundred sixty".