34102341432 has 144 divisors (see below), whose sum is σ = 96879588000. Its totient is φ = 10835016192.

The previous prime is 34102341421. The next prime is 34102341443. The reversal of 34102341432 is 23414320143.

34102341432 is a `hidden beast` number, since 3 + 410 + 234 + 14 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34102341421) and next prime (34102341443).

It is a super-3 number, since 3×34102341432³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34102341396 and 34102341405.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4780044 + ... + 4787172.

Almost surely, 2^34102341432 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 34102341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48439794000).

34102341432 is an abundant number, since it is smaller than the sum of its proper divisors (62777246568).

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

34102341432 is a wasteful number, since it uses less digits than its factorization.

34102341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34102341432 its reverse (23414320143), we get a palindrome (57516661575).

The spelling of 34102341432 in words is "thirty-four billion, one hundred two million, three hundred forty-one thousand, four hundred thirty-two".