3212422400 has 108 divisors (see below), whose sum is σ = 8674278144. Its totient is φ = 1168128000.

The previous prime is 3212422349. The next prime is 3212422417. The reversal of 3212422400 is 42242123.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47585 + ... + 93215.

Almost surely, 2^3212422400 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 3212422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337139072).

3212422400 is an abundant number, since it is smaller than the sum of its proper divisors (5461855744).

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

3212422400 is a wasteful number, since it uses less digits than its factorization.

3212422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45668 (or 45649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3212422400 is about 56678.2356817853. The cubic root of 3212422400 is about 1475.5169919976.

Adding to 3212422400 its reverse (42242123), we get a palindrome (3254664523).

The spelling of 3212422400 in words is "three billion, two hundred twelve million, four hundred twenty-two thousand, four hundred".