3214000000 has 112 divisors (see below), whose sum is σ = 8008491240. Its totient is φ = 1284800000.

The previous prime is 3213999979. The next prime is 3214000007. The reversal of 3214000000 is 4123.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999197 + ... + 2000803.

Almost surely, 2^3214000000 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 3214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004245620).

3214000000 is an abundant number, since it is smaller than the sum of its proper divisors (4794491240).

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

3214000000 is an frugal number, since it uses more digits than its factorization.

3214000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3214000000 is about 56692.1511322335. The cubic root of 3214000000 is about 1475.7584914404.

Adding to 3214000000 its reverse (4123), we get a palindrome (3214004123).

The spelling of 3214000000 in words is "three billion, two hundred fourteen million", and thus it is an aban number.