34012613025612 has 384 divisors, whose sum is σ = 96982712709120. Its totient is φ = 10244721991680.

The previous prime is 34012613025607. The next prime is 34012613025631. The reversal of 34012613025612 is 21652031621043.

34012613025612 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 6 + 1 + 30 + 2 + 5 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24881208553 + ... + 24881209919.

It is an arithmetic number, because the mean of its divisors is an integer number (252559147680).

Almost surely, 2^{34012613025612} 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 34012613025612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48491356354560).

34012613025612 is an abundant number, since it is smaller than the sum of its proper divisors (62970099683508).

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

34012613025612 is a wasteful number, since it uses less digits than its factorization.

34012613025612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 34012613025612 its reverse (21652031621043), we get a palindrome (55664644646655).

The spelling of 34012613025612 in words is "thirty-four trillion, twelve billion, six hundred thirteen million, twenty-five thousand, six hundred twelve".