3413212000 has 96 divisors (see below), whose sum is σ = 9148767264. Its totient is φ = 1241152000.

The previous prime is 3413211961. The next prime is 3413212027. The reversal of 3413212000 is 2123143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 5214 + ... + 82786.

It is an arithmetic number, because the mean of its divisors is an integer number (95299659).

Almost surely, 2^3413212000 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 3413212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574383632).

3413212000 is an abundant number, since it is smaller than the sum of its proper divisors (5735555264).

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

3413212000 is a wasteful number, since it uses less digits than its factorization.

3413212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77609 (or 77591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3413212000 is about 58422.7010673077. The cubic root of 3413212000 is about 1505.6398055235.

Adding to 3413212000 its reverse (2123143), we get a palindrome (3415335143).

The spelling of 3413212000 in words is "three billion, four hundred thirteen million, two hundred twelve thousand".