34530120000 has 210 divisors, whose sum is σ = 123679642658. Its totient is φ = 9207936000.

The previous prime is 34530119999. The next prime is 34530120011. The reversal of 34530120000 is 2103543.

34530120000 is a `hidden beast` number, since 345 + 301 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 12087683136 + 22442436864 = 109944^2 + 149808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 312042 + ... + 407958.

Almost surely, 2^34530120000 is an apocalyptic number.

34530120000 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 34530120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61839821329).

34530120000 is an abundant number, since it is smaller than the sum of its proper divisors (89149522658).

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

34530120000 is an equidigital number, since it uses as much as digits as its factorization.

34530120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95955 (or 95927 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 34530120000 its reverse (2103543), we get a palindrome (34532223543).

The spelling of 34530120000 in words is "thirty-four billion, five hundred thirty million, one hundred twenty thousand".