3213000000 has 784 divisors, whose sum is σ = 14287317120. Its totient is φ = 691200000.

The previous prime is 3212999989. The next prime is 3213000013. The reversal of 3213000000 is 3123.

It is a happy number.

3213000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 188999992 + ... + 189000008.

Almost surely, 2^3213000000 is an apocalyptic number.

3213000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143658560).

3213000000 is an abundant number, since it is smaller than the sum of its proper divisors (11074317120).

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

3213000000 is an frugal number, since it uses more digits than its factorization.

3213000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3213000000 is about 56683.3308830736. The cubic root of 3213000000 is about 1475.6054203376.

Adding to 3213000000 its reverse (3123), we get a palindrome (3213003123).

The spelling of 3213000000 in words is "three billion, two hundred thirteen million", and thus it is an aban number.