34012411032432 has 160 divisors (see below), whose sum is σ = 100825546752000. Its totient is φ = 9678430105344.

The previous prime is 34012411032407. The next prime is 34012411032463. The reversal of 34012411032432 is 23423011421043.

It is a self number, because there is not a number n which added to its sum of digits gives 34012411032432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84127953 + ... + 84531279.

It is an arithmetic number, because the mean of its divisors is an integer number (630159667200).

Almost surely, 2^{34012411032432} 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 34012411032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50412773376000).

34012411032432 is an abundant number, since it is smaller than the sum of its proper divisors (66813135719568).

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

34012411032432 is a wasteful number, since it uses less digits than its factorization.

34012411032432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404363 (or 404357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34012411032432 its reverse (23423011421043), we get a palindrome (57435422453475).

The spelling of 34012411032432 in words is "thirty-four trillion, twelve billion, four hundred eleven million, thirty-two thousand, four hundred thirty-two".