3213320400 has 180 divisors, whose sum is σ = 11185682508. Its totient is φ = 854231040.

The previous prime is 3213320329. The next prime is 3213320417. The reversal of 3213320400 is 40233123.

3213320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 584092224 + 2629228176 = 24168^2 + 51276^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1341604 + ... + 1343996.

Almost surely, 2^3213320400 is an apocalyptic number.

3213320400 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 3213320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592841254).

3213320400 is an abundant number, since it is smaller than the sum of its proper divisors (7972362108).

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

3213320400 is a wasteful number, since it uses less digits than its factorization.

3213320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3213320400 is about 56686.1570403216. The cubic root of 3213320400 is about 1475.6544677764.

Adding to 3213320400 its reverse (40233123), we get a palindrome (3253553523).

The spelling of 3213320400 in words is "three billion, two hundred thirteen million, three hundred twenty thousand, four hundred".