34543130160 has 480 divisors, whose sum is σ = 137841606144. Its totient is φ = 7074816000.

The previous prime is 34543130147. The next prime is 34543130183. The reversal of 34543130160 is 6103134543.

It is a super-3 number, since 3×34543130160³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9182680 + ... + 9186440.

Almost surely, 2^34543130160 is an apocalyptic number.

34543130160 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 34543130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68920803072).

34543130160 is an abundant number, since it is smaller than the sum of its proper divisors (103298475984).

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

34543130160 is a wasteful number, since it uses less digits than its factorization.

34543130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 34543130160 in words is "thirty-four billion, five hundred forty-three million, one hundred thirty thousand, one hundred sixty".