3412303200 has 252 divisors, whose sum is σ = 12491848908. Its totient is φ = 909792000.

The previous prime is 3412303199. The next prime is 3412303211. The reversal of 3412303200 is 23032143.

3412303200 is a `hidden beast` number, since 341 + 2 + 3 + 0 + 320 + 0 = 666.

3412303200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 580275 + ... + 586125.

It is an arithmetic number, because the mean of its divisors is an integer number (49570829).

Almost surely, 2^3412303200 is an apocalyptic number.

3412303200 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 3412303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245924454).

3412303200 is an abundant number, since it is smaller than the sum of its proper divisors (9079545708).

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

3412303200 is an equidigital number, since it uses as much as digits as its factorization.

3412303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3412303200 is about 58414.9227509547. The cubic root of 3412303200 is about 1505.5061633788.

Adding to 3412303200 its reverse (23032143), we get a palindrome (3435335343).

The spelling of 3412303200 in words is "three billion, four hundred twelve million, three hundred three thousand, two hundred".