3431411040 has 96 divisors (see below), whose sum is σ = 10986234336. Its totient is φ = 900034560.

The previous prime is 3431411033. The next prime is 3431411041. The reversal of 3431411040 is 401141343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3431410998 and 3431411016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431411041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29317 + ... + 87876.

It is an arithmetic number, because the mean of its divisors is an integer number (114439941).

Almost surely, 2^3431411040 is an apocalyptic number.

3431411040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431411040 is an abundant number, since it is smaller than the sum of its proper divisors (7554823296).

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

3431411040 is a wasteful number, since it uses less digits than its factorization.

3431411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117272 (or 117264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3431411040 is about 58578.2471571146. The cubic root of 3431411040 is about 1508.3110569512.

Adding to 3431411040 its reverse (401141343), we get a palindrome (3832552383).

It can be divided in two parts, 34314 and 11040, that added together give a palindrome (45354).

The spelling of 3431411040 in words is "three billion, four hundred thirty-one million, four hundred eleven thousand, forty".