3213034000 has 320 divisors, whose sum is σ = 9175555584. Its totient is φ = 1084160000.

The previous prime is 3213033961. The next prime is 3213034049. The reversal of 3213034000 is 4303123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45253965 + ... + 45254035.

Almost surely, 2^3213034000 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 3213034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587777792).

3213034000 is an abundant number, since it is smaller than the sum of its proper divisors (5962521584).

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

3213034000 is a wasteful number, since it uses less digits than its factorization.

3213034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3213034000 is about 56683.6307940838. The cubic root of 3213034000 is about 1475.6106252766.

Adding to 3213034000 its reverse (4303123), we get a palindrome (3217337123).

The spelling of 3213034000 in words is "three billion, two hundred thirteen million, thirty-four thousand".