34303220314344 has 64 divisors (see below), whose sum is σ = 95287206062400. Its totient is φ = 11434348815552.

The previous prime is 34303220314291. The next prime is 34303220314399. The reversal of 34303220314344 is 44341302230343.

34303220314344 is a `hidden beast` number, since 3 + 4 + 303 + 2 + 2 + 0 + 3 + 1 + 4 + 344 = 666.

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 = 34303220314299 and 34303220314308.

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, 74538354 + ... + 74997150.

It is an arithmetic number, because the mean of its divisors is an integer number (1488862594725).

Almost surely, 2^{34303220314344} is an apocalyptic number.

It is an amenable number.

34303220314344 is an abundant number, since it is smaller than the sum of its proper divisors (60983985748056).

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

34303220314344 is a wasteful number, since it uses less digits than its factorization.

34303220314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804959 (or 804949 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34303220314344 its reverse (44341302230343), we get a palindrome (78644522544687).

The spelling of 34303220314344 in words is "thirty-four trillion, three hundred three billion, two hundred twenty million, three hundred fourteen thousand, three hundred forty-four".