3431038607031 has 64 divisors (see below), whose sum is σ = 5402821818368. Its totient is φ = 1895822143488.

The previous prime is 3431038606993. The next prime is 3431038607047. The reversal of 3431038607031 is 1307068301343.

It is a happy number.

It is not a de Polignac number, because 3431038607031 - 2⁶ = 3431038606967 is a prime.

It is a super-2 number, since 2×3431038607031² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431038607431) 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, 81937806 + ... + 81979668.

It is an arithmetic number, because the mean of its divisors is an integer number (84419090912).

Almost surely, 2^{3431038607031} is an apocalyptic number.

3431038607031 is a deficient number, since it is larger than the sum of its proper divisors (1971783211337).

3431038607031 is a wasteful number, since it uses less digits than its factorization.

3431038607031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42560.

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 3431038607031 in words is "three trillion, four hundred thirty-one billion, thirty-eight million, six hundred seven thousand, thirty-one".