3431403312100 has 36 divisors (see below), whose sum is σ = 7451782222948. Its totient is φ = 1371522240000.

The previous prime is 3431403312091. The next prime is 3431403312149. The reversal of 3431403312100 is 12133041343.

It can be written as a sum of positive squares in 6 ways, for example, as 44544635136 + 3386858676964 = 211056^2 + 1840342^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12855801 + ... + 13120000.

Almost surely, 2^{3431403312100} is an apocalyptic number.

It is an amenable number.

3431403312100 is an abundant number, since it is smaller than the sum of its proper divisors (4020378910848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431403312100 is a wasteful number, since it uses less digits than its factorization.

3431403312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25977136 (or 25977129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3431403312100 its reverse (12133041343), we get a palindrome (3443536353443).

The spelling of 3431403312100 in words is "three trillion, four hundred thirty-one billion, four hundred three million, three hundred twelve thousand, one hundred".