3431230400 has 84 divisors (see below), whose sum is σ = 9092485752. Its totient is φ = 1266908160.

The previous prime is 3431230393. The next prime is 3431230417. The reversal of 3431230400 is 40321343.

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

It is a congruent number.

It is an unprimeable number.

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, 61682 + ... + 103281.

It is an arithmetic number, because the mean of its divisors is an integer number (108243878).

Almost surely, 2^3431230400 is an apocalyptic number.

It is an amenable number.

3431230400 is an abundant number, since it is smaller than the sum of its proper divisors (5661255352).

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

3431230400 is a wasteful number, since it uses less digits than its factorization.

3431230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164998 (or 164983 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3431230400 is about 58576.7052675379. The cubic root of 3431230400 is about 1508.2845891136.

Adding to 3431230400 its reverse (40321343), we get a palindrome (3471551743).

The spelling of 3431230400 in words is "three billion, four hundred thirty-one million, two hundred thirty thousand, four hundred".