3431422800 has 720 divisors, whose sum is σ = 14355956160. Its totient is φ = 749813760.

The previous prime is 3431422759. The next prime is 3431422837. The reversal of 3431422800 is 82241343.

3431422800 is a `hidden beast` number, since 3 + 431 + 4 + 228 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15116287 + ... + 15116513.

It is an arithmetic number, because the mean of its divisors is an integer number (19938828).

Almost surely, 2^3431422800 is an apocalyptic number.

3431422800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177978080).

3431422800 is an abundant number, since it is smaller than the sum of its proper divisors (10924533360).

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

3431422800 is a wasteful number, since it uses less digits than its factorization.

3431422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3431422800 is about 58578.3475355869. The cubic root of 3431422800 is about 1508.3127800244.

The spelling of 3431422800 in words is "three billion, four hundred thirty-one million, four hundred twenty-two thousand, eight hundred".