34401352314204 has 144 divisors (see below), whose sum is σ = 91133204198400. Its totient is φ = 10927118547072.

The previous prime is 34401352314193. The next prime is 34401352314223. The reversal of 34401352314204 is 40241325310443.

34401352314204 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 135 + 2 + 314 + 204 = 666.

34401352314204 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206354107 + ... + 206520749.

It is an arithmetic number, because the mean of its divisors is an integer number (632869473600).

Almost surely, 2^{34401352314204} 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 34401352314204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45566602099200).

34401352314204 is an abundant number, since it is smaller than the sum of its proper divisors (56731851884196).

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

34401352314204 is a wasteful number, since it uses less digits than its factorization.

34401352314204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169264 (or 169259 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34401352314204 its reverse (40241325310443), we get a palindrome (74642677624647).

The spelling of 34401352314204 in words is "thirty-four trillion, four hundred one billion, three hundred fifty-two million, three hundred fourteen thousand, two hundred four".