3213302400000 has 3960 divisors, whose sum is σ = 15881912367552. Its totient is φ = 638668800000.

The previous prime is 3213302399963. The next prime is 3213302400017. The reversal of 3213302400000 is 42033123.

3213302400000 is a `hidden beast` number, since 321 + 3 + 302 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 139708799989 + ... + 139708800011.

Almost surely, 2^{3213302400000} is an apocalyptic number.

3213302400000 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 3213302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940956183776).

3213302400000 is an abundant number, since it is smaller than the sum of its proper divisors (12668609967552).

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

3213302400000 is an equidigital number, since it uses as much as digits as its factorization.

3213302400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

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

Adding to 3213302400000 its reverse (42033123), we get a palindrome (3213344433123).

The spelling of 3213302400000 in words is "three trillion, two hundred thirteen billion, three hundred two million, four hundred thousand".