34400442314330 has 16 divisors (see below), whose sum is σ = 64055996034120. Its totient is φ = 13285688066112.

The previous prime is 34400442314321. The next prime is 34400442314339. The reversal of 34400442314330 is 3341324400443.

It is an interprime number because it is at equal distance from previous prime (34400442314321) and next prime (34400442314339).

It can be written as a sum of positive squares in 4 ways, for example, as 26093002313161 + 8307440001169 = 5108131^2 + 2882263^2 .

It is not an unprimeable number, because it can be changed into a prime (34400442314339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59311107149 + ... + 59311107728.

Almost surely, 2^{34400442314330} is an apocalyptic number.

34400442314330 is a deficient number, since it is larger than the sum of its proper divisors (29655553719790).

34400442314330 is a wasteful number, since it uses less digits than its factorization.

34400442314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118622214913.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 34400442314330 its reverse (3341324400443), we get a palindrome (37741766714773).

The spelling of 34400442314330 in words is "thirty-four trillion, four hundred billion, four hundred forty-two million, three hundred fourteen thousand, three hundred thirty".