3213211222944 has 384 divisors, whose sum is σ = 9637068026880. Its totient is φ = 1041180521472.

The previous prime is 3213211222927. The next prime is 3213211222961. The reversal of 3213211222944 is 4492221123123.

3213211222944 is a `hidden beast` number, since 3 + 21 + 321 + 1 + 22 + 294 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3213211222927) and next prime (3213211222961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3213211222899 and 3213211222908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4082860119 + ... + 4082860905.

It is an arithmetic number, because the mean of its divisors is an integer number (25096531320).

Almost surely, 2^{3213211222944} 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 3213211222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818534013440).

3213211222944 is an abundant number, since it is smaller than the sum of its proper divisors (6423856803936).

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

3213211222944 is a wasteful number, since it uses less digits than its factorization.

3213211222944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1555 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 3213211222944 in words is "three trillion, two hundred thirteen billion, two hundred eleven million, two hundred twenty-two thousand, nine hundred forty-four".