34242314204124 has 144 divisors (see below), whose sum is σ = 98915688423552. Its totient is φ = 10291071010752.

The previous prime is 34242314204107. The next prime is 34242314204179. The reversal of 34242314204124 is 42140241324243.

34242314204124 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 231 + 4 + 2 + 0 + 412 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30967134 + ... + 32053829.

Almost surely, 2^{34242314204124} is an apocalyptic number.

It is an amenable number.

34242314204124 is an abundant number, since it is smaller than the sum of its proper divisors (64673374219428).

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

34242314204124 is a wasteful number, since it uses less digits than its factorization.

34242314204124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63021038 (or 63021024 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34242314204124 its reverse (42140241324243), we get a palindrome (76382555528367).

The spelling of 34242314204124 in words is "thirty-four trillion, two hundred forty-two billion, three hundred fourteen million, two hundred four thousand, one hundred twenty-four".