3216340400 has 270 divisors, whose sum is σ = 9743513652. Its totient is φ = 1016870400.

The previous prime is 3216340367. The next prime is 3216340409. The reversal of 3216340400 is 40436123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3216340409) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3311915 + ... + 3312885.

Almost surely, 2^3216340400 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 3216340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871756826).

3216340400 is an abundant number, since it is smaller than the sum of its proper divisors (6527173252).

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

3216340400 is a wasteful number, since it uses less digits than its factorization.

3216340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3216340400 is about 56712.7886812137. The cubic root of 3216340400 is about 1476.1166149787.

Adding to 3216340400 its reverse (40436123), we get a palindrome (3256776523).

The spelling of 3216340400 in words is "three billion, two hundred sixteen million, three hundred forty thousand, four hundred".