344302242104340 has 144 divisors (see below), whose sum is σ = 1155118513440528. Its totient is φ = 82460744865792.

The previous prime is 344302242104179. The next prime is 344302242104383. The reversal of 344302242104340 is 43401242203443.

344302242104340 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 0 + 2 + 2 + 4 + 210 + 434 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52875962955396 + 291426279148944 = 7271586^2 + 17071212^2 .

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 = 344302242104295 and 344302242104304.

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, 1988260857 + ... + 1988434016.

It is an arithmetic number, because the mean of its divisors is an integer number (8021656343337).

Almost surely, 2^{344302242104340} is an apocalyptic number.

344302242104340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344302242104340 is an abundant number, since it is smaller than the sum of its proper divisors (810816271336188).

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

344302242104340 is a wasteful number, since it uses less digits than its factorization.

344302242104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976694938 (or 3976694933 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344302242104340 its reverse (43401242203443), we get a palindrome (387703484307783).

The spelling of 344302242104340 in words is "three hundred forty-four trillion, three hundred two billion, two hundred forty-two million, one hundred four thousand, three hundred forty".