34402124204131 has 8 divisors (see below), whose sum is σ = 34474892267520. Its totient is φ = 34329360088968.

The previous prime is 34402124204033. The next prime is 34402124204177. The reversal of 34402124204131 is 13140242120443.

It is a happy number.

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 34402124204131 - 2¹⁹ = 34402123679843 is a prime.

It is a super-2 number, since 2×34402124204131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34402124204093 and 34402124204102.

It is not an unprimeable number, because it can be changed into a prime (34402124504131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16796400 + ... + 18732946.

It is an arithmetic number, because the mean of its divisors is an integer number (4309361533440).

Almost surely, 2^{34402124204131} is an apocalyptic number.

34402124204131 is a deficient number, since it is larger than the sum of its proper divisors (72768063389).

34402124204131 is a wasteful number, since it uses less digits than its factorization.

34402124204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974113.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34402124204131 its reverse (13140242120443), we get a palindrome (47542366324574).

The spelling of 34402124204131 in words is "thirty-four trillion, four hundred two billion, one hundred twenty-four million, two hundred four thousand, one hundred thirty-one".