3312214400 has 192 divisors, whose sum is σ = 9055335600. Its totient is φ = 1187020800.

The previous prime is 3312214379. The next prime is 3312214421. The reversal of 3312214400 is 44122133.

It is an interprime number because it is at equal distance from previous prime (3312214379) and next prime (3312214421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2568956 + ... + 2570244.

Almost surely, 2^3312214400 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 3312214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527667800).

3312214400 is an abundant number, since it is smaller than the sum of its proper divisors (5743121200).

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

3312214400 is a wasteful number, since it uses less digits than its factorization.

3312214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3312214400 is about 57551.8409783736. The cubic root of 3312214400 is about 1490.6401465380.

Adding to 3312214400 its reverse (44122133), we get a palindrome (3356336533).

It can be divided in two parts, 3312 and 214400, that added together give a palindrome (217712).

The spelling of 3312214400 in words is "three billion, three hundred twelve million, two hundred fourteen thousand, four hundred".