3414222200 has 192 divisors, whose sum is σ = 8983353600. Its totient is φ = 1199923200.

The previous prime is 3414222197. The next prime is 3414222257. The reversal of 3414222200 is 22224143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3056042 + ... + 3057158.

It is an arithmetic number, because the mean of its divisors is an integer number (46788300).

Almost surely, 2^3414222200 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 3414222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491676800).

3414222200 is an abundant number, since it is smaller than the sum of its proper divisors (5569131400).

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

3414222200 is a wasteful number, since it uses less digits than its factorization.

3414222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3414222200 is about 58431.3460396045. The cubic root of 3414222200 is about 1505.7883310474.

Adding to 3414222200 its reverse (22224143), we get a palindrome (3436446343).

The spelling of 3414222200 in words is "three billion, four hundred fourteen million, two hundred twenty-two thousand, two hundred".