34400020313 has 8 divisors (see below), whose sum is σ = 36117367680. Its totient is φ = 32718082320.

The previous prime is 34400020309. The next prime is 34400020373. The reversal of 34400020313 is 31302000443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34400020313 - 2² = 34400020309 is a prime.

It is a super-2 number, since 2×34400020313² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400020373) 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, 8850353 + ... + 8854238.

It is an arithmetic number, because the mean of its divisors is an integer number (4514670960).

Almost surely, 2^34400020313 is an apocalyptic number.

It is an amenable number.

34400020313 is a deficient number, since it is larger than the sum of its proper divisors (1717347367).

34400020313 is a wasteful number, since it uses less digits than its factorization.

34400020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17704687.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34400020313 its reverse (31302000443), we get a palindrome (65702020756).

The spelling of 34400020313 in words is "thirty-four billion, four hundred million, twenty thousand, three hundred thirteen".