34402010031 has 24 divisors (see below), whose sum is σ = 50339793504. Its totient is φ = 22637534400.

The previous prime is 34402009979. The next prime is 34402010053. The reversal of 34402010031 is 13001020443.

It is not a de Polignac number, because 34402010031 - 2²⁵ = 34368455599 is a prime.

It is a super-2 number, since 2×34402010031² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34402009986 and 34402010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402010231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132745 + ... + 293981.

It is an arithmetic number, because the mean of its divisors is an integer number (2097491396).

Almost surely, 2^34402010031 is an apocalyptic number.

34402010031 is a deficient number, since it is larger than the sum of its proper divisors (15937783473).

34402010031 is a wasteful number, since it uses less digits than its factorization.

34402010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161551 (or 161548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34402010031 its reverse (13001020443), we get a palindrome (47403030474).

The spelling of 34402010031 in words is "thirty-four billion, four hundred two million, ten thousand, thirty-one".