340104308544 has 1008 divisors, whose sum is σ = 1382044862016. Its totient is φ = 81517363200.

The previous prime is 340104308471. The next prime is 340104308569. The reversal of 340104308544 is 445803401043.

340104308544 is a `hidden beast` number, since 3 + 4 + 0 + 104 + 3 + 0 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 340104308499 and 340104308508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108971304 + ... + 108974424.

It is an arithmetic number, because the mean of its divisors is an integer number (1371076252).

Almost surely, 2^340104308544 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 340104308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691022431008).

340104308544 is an abundant number, since it is smaller than the sum of its proper divisors (1041940553472).

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

340104308544 is a wasteful number, since it uses less digits than its factorization.

340104308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 340104308544 its reverse (445803401043), we get a palindrome (785907709587).

The spelling of 340104308544 in words is "three hundred forty billion, one hundred four million, three hundred eight thousand, five hundred forty-four".