3213134320 has 80 divisors (see below), whose sum is σ = 8323181568. Its totient is φ = 1143537920.

The previous prime is 3213134299. The next prime is 3213134329. The reversal of 3213134320 is 234313123.

3213134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 3213134291 and 3213134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213134329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517 + ... + 80203.

Almost surely, 2^3213134320 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 3213134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161590784).

3213134320 is an abundant number, since it is smaller than the sum of its proper divisors (5110047248).

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

3213134320 is a wasteful number, since it uses less digits than its factorization.

3213134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77758 (or 77752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3213134320 is about 56684.5156987338. The cubic root of 3213134320 is about 1475.6259826945.

Adding to 3213134320 its reverse (234313123), we get a palindrome (3447447443).

The spelling of 3213134320 in words is "three billion, two hundred thirteen million, one hundred thirty-four thousand, three hundred twenty".