3412800000 has 480 divisors, whose sum is σ = 12786681600. Its totient is φ = 898560000.

The previous prime is 3412799993. The next prime is 3412800019. The reversal of 3412800000 is 82143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 43199961 + ... + 43200039.

It is an arithmetic number, because the mean of its divisors is an integer number (26638920).

Almost surely, 2^3412800000 is an apocalyptic number.

3412800000 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 3412800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393340800).

3412800000 is an abundant number, since it is smaller than the sum of its proper divisors (9373881600).

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

3412800000 is an frugal number, since it uses more digits than its factorization.

3412800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3412800000 is about 58419.1749342628. The cubic root of 3412800000 is about 1505.5792224559.

Adding to 3412800000 its reverse (82143), we get a palindrome (3412882143).

The spelling of 3412800000 in words is "three billion, four hundred twelve million, eight hundred thousand".