3431041400 has 48 divisors (see below), whose sum is σ = 7981416240. Its totient is φ = 1371686400.

The previous prime is 3431041333. The next prime is 3431041409. The reversal of 3431041400 is 41401343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431041409) 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 11 ways as a sum of consecutive naturals, for example, 526160 + ... + 532640.

It is an arithmetic number, because the mean of its divisors is an integer number (166279505).

Almost surely, 2^3431041400 is an apocalyptic number.

It is an amenable number.

3431041400 is an abundant number, since it is smaller than the sum of its proper divisors (4550374840).

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

3431041400 is a wasteful number, since it uses less digits than its factorization.

3431041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3431041400 is about 58575.0919760268. The cubic root of 3431041400 is about 1508.2568953528.

Adding to 3431041400 its reverse (41401343), we get a palindrome (3472442743).

The spelling of 3431041400 in words is "three billion, four hundred thirty-one million, forty-one thousand, four hundred".