3213210000 has 800 divisors, whose sum is σ = 14057100288. Its totient is φ = 610560000.

The previous prime is 3213209983. The next prime is 3213210029. The reversal of 3213210000 is 123123.

It is a happy number.

3213210000 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30029947 + ... + 30030053.

Almost surely, 2^3213210000 is an apocalyptic number.

3213210000 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 3213210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028550144).

3213210000 is an abundant number, since it is smaller than the sum of its proper divisors (10843890288).

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

3213210000 is a wasteful number, since it uses less digits than its factorization.

3213210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3213210000 is about 56685.1832492407. The cubic root of 3213210000 is about 1475.6375679035.

Adding to 3213210000 its reverse (123123), we get a palindrome (3213333123).

It can be divided in two parts, 321 and 3210000, that multiplied together give a square (1030410000 = 32100²).

The spelling of 3213210000 in words is "three billion, two hundred thirteen million, two hundred ten thousand".