34313002400331 has 64 divisors (see below), whose sum is σ = 52164996048000. Its totient is φ = 22283831255040.

The previous prime is 34313002400297. The next prime is 34313002400371. The reversal of 34313002400331 is 13300420031343.

34313002400331 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 300 + 24 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 34313002400331 - 2³⁰ = 34311928658507 is a prime.

It is a super-2 number, since 2×34313002400331² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34313002400295 and 34313002400304.

It is not an unprimeable number, because it can be changed into a prime (34313002400371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408013735 + ... + 408097823.

It is an arithmetic number, because the mean of its divisors is an integer number (815078063250).

Almost surely, 2^{34313002400331} is an apocalyptic number.

34313002400331 is a deficient number, since it is larger than the sum of its proper divisors (17851993647669).

34313002400331 is a wasteful number, since it uses less digits than its factorization.

34313002400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86541 (or 86535 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34313002400331 its reverse (13300420031343), we get a palindrome (47613422431674).

The spelling of 34313002400331 in words is "thirty-four trillion, three hundred thirteen billion, two million, four hundred thousand, three hundred thirty-one".