3401432200 has 96 divisors (see below), whose sum is σ = 8198526600. Its totient is φ = 1311344640.

The previous prime is 3401432197. The next prime is 3401432207. The reversal of 3401432200 is 22341043.

It can be written as a sum of positive squares in 12 ways, for example, as 1757454084 + 1643978116 = 41922^2 + 40546^2 .

It is a super-2 number, since 2×3401432200² = 23139482022393680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3401432207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804492 + ... + 808708.

Almost surely, 2^3401432200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099263300).

3401432200 is an abundant number, since it is smaller than the sum of its proper divisors (4797094400).

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

3401432200 is a wasteful number, since it uses less digits than its factorization.

3401432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3401432200 is about 58321.7986691083. The cubic root of 3401432200 is about 1503.9057029777.

Adding to 3401432200 its reverse (22341043), we get a palindrome (3423773243).

The spelling of 3401432200 in words is "three billion, four hundred one million, four hundred thirty-two thousand, two hundred".