34130212704 has 384 divisors, whose sum is σ = 116049024000. Its totient is φ = 9558134784.

The previous prime is 34130212703. The next prime is 34130212729. The reversal of 34130212704 is 40721203143.

It is a happy number.

34130212704 is a `hidden beast` number, since 341 + 30 + 21 + 270 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130212703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87738142 + ... + 87738530.

It is an arithmetic number, because the mean of its divisors is an integer number (302211000).

Almost surely, 2^34130212704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58024512000).

34130212704 is an abundant number, since it is smaller than the sum of its proper divisors (81918811296).

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

34130212704 is a wasteful number, since it uses less digits than its factorization.

34130212704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 34130212704 its reverse (40721203143), we get a palindrome (74851415847).

The spelling of 34130212704 in words is "thirty-four billion, one hundred thirty million, two hundred twelve thousand, seven hundred four".