34405000510104 has 64 divisors (see below), whose sum is σ = 109222223846400. Its totient is φ = 9830000145312.

The previous prime is 34405000510079. The next prime is 34405000510117. The reversal of 34405000510104 is 40101500050443.

It is a happy number.

34405000510104 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 500 + 0 + 51 + 0 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11377313472 + ... + 11377316495.

It is an arithmetic number, because the mean of its divisors is an integer number (1706597247600).

Almost surely, 2^{34405000510104} is an apocalyptic number.

It is an amenable number.

34405000510104 is an abundant number, since it is smaller than the sum of its proper divisors (74817223336296).

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

34405000510104 is a wasteful number, since it uses less digits than its factorization.

34405000510104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22754629989 (or 22754629979 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34405000510104 its reverse (40101500050443), we get a palindrome (74506500560547).

The spelling of 34405000510104 in words is "thirty-four trillion, four hundred five billion, five hundred ten thousand, one hundred four".