3412240200 has 144 divisors (see below), whose sum is σ = 11478366900. Its totient is φ = 908428800.

The previous prime is 3412240177. The next prime is 3412240201. The reversal of 3412240200 is 20422143.

It can be written as a sum of positive squares in 6 ways, for example, as 1445672484 + 1966567716 = 38022^2 + 44346^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3412240201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1476646 + ... + 1478954.

Almost surely, 2^3412240200 is an apocalyptic number.

3412240200 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 3412240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739183450).

3412240200 is an abundant number, since it is smaller than the sum of its proper divisors (8066126700).

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

3412240200 is a wasteful number, since it uses less digits than its factorization.

3412240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3412240200 is about 58414.3835026956. The cubic root of 3412240200 is about 1505.4968981341.

Adding to 3412240200 its reverse (20422143), we get a palindrome (3432662343).

The spelling of 3412240200 in words is "three billion, four hundred twelve million, two hundred forty thousand, two hundred".