3436312400 has 60 divisors (see below), whose sum is σ = 8282928192. Its totient is φ = 1369998720.

The previous prime is 3436312387. The next prime is 3436312423. The reversal of 3436312400 is 42136343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3436312400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 108809 + ... + 136791.

Almost surely, 2^3436312400 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 3436312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141464096).

3436312400 is an abundant number, since it is smaller than the sum of its proper divisors (4846615792).

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

3436312400 is a wasteful number, since it uses less digits than its factorization.

3436312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28308 (or 28297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3436312400 is about 58620.0682360572. The cubic root of 3436312400 is about 1509.0288625699.

Adding to 3436312400 its reverse (42136343), we get a palindrome (3478448743).

The spelling of 3436312400 in words is "three billion, four hundred thirty-six million, three hundred twelve thousand, four hundred".