34041300000 has 288 divisors, whose sum is σ = 112400555904. Its totient is φ = 9020160000.

The previous prime is 34041299951. The next prime is 34041300001. The reversal of 34041300000 is 314043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (34041300001) 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, 69899757 + ... + 69900243.

It is an arithmetic number, because the mean of its divisors is an integer number (390279708).

Almost surely, 2^34041300000 is an apocalyptic number.

34041300000 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 34041300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56200277952).

34041300000 is an abundant number, since it is smaller than the sum of its proper divisors (78359255904).

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

34041300000 is an equidigital number, since it uses as much as digits as its factorization.

34041300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 34041300000 its reverse (314043), we get a palindrome (34041614043).

The spelling of 34041300000 in words is "thirty-four billion, forty-one million, three hundred thousand".