34302144030 has 128 divisors (see below), whose sum is σ = 104322180096. Its totient is φ = 7010841600.

The previous prime is 34302144011. The next prime is 34302144031. The reversal of 34302144030 is 3044120343.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34302144031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19194 + ... + 262626.

It is an arithmetic number, because the mean of its divisors is an integer number (815017032).

Almost surely, 2^34302144030 is an apocalyptic number.

34302144030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34302144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52161090048).

34302144030 is an abundant number, since it is smaller than the sum of its proper divisors (70020036066).

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

34302144030 is a wasteful number, since it uses less digits than its factorization.

34302144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243522.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34302144030 its reverse (3044120343), we get a palindrome (37346264373).

The spelling of 34302144030 in words is "thirty-four billion, three hundred two million, one hundred forty-four thousand, thirty".