3212134000 has 80 divisors (see below), whose sum is σ = 8104749120. Its totient is φ = 1228972800.

The previous prime is 3212133959. The next prime is 3212134043. The reversal of 3212134000 is 4312123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11086 + ... + 80914.

It is an arithmetic number, because the mean of its divisors is an integer number (101309364).

Almost surely, 2^3212134000 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 3212134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052374560).

3212134000 is an abundant number, since it is smaller than the sum of its proper divisors (4892615120).

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

3212134000 is a wasteful number, since it uses less digits than its factorization.

3212134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69875 (or 69859 counting only the distinct ones).

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

The square root of 3212134000 is about 56675.6914382171. The cubic root of 3212134000 is about 1475.4728350985.

Adding to 3212134000 its reverse (4312123), we get a palindrome (3216446123).

The spelling of 3212134000 in words is "three billion, two hundred twelve million, one hundred thirty-four thousand".