34132414400 has 84 divisors (see below), whose sum is σ = 95985256848. Its totient is φ = 11702538240.

The previous prime is 34132414387. The next prime is 34132414409. The reversal of 34132414400 is 441423143.

It is a self number, because there is not a number n which added to its sum of digits gives 34132414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132414409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1512569 + ... + 1534968.

Almost surely, 2^34132414400 is an apocalyptic number.

It is an amenable number.

34132414400 is an abundant number, since it is smaller than the sum of its proper divisors (61852842448).

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

34132414400 is a wasteful number, since it uses less digits than its factorization.

34132414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047566 (or 3047551 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34132414400 its reverse (441423143), we get a palindrome (34573837543).

The spelling of 34132414400 in words is "thirty-four billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred".