3641422400 has 252 divisors, whose sum is σ = 11259945984. Its totient is φ = 1134566400.

The previous prime is 3641422391. The next prime is 3641422453. The reversal of 3641422400 is 42241463.

It is a self number, because there is not a number n which added to its sum of digits gives 3641422400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1353857 + ... + 1356543.

Almost surely, 2^3641422400 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 3641422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629972992).

3641422400 is an abundant number, since it is smaller than the sum of its proper divisors (7618523584).

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

3641422400 is a wasteful number, since it uses less digits than its factorization.

3641422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3641422400 is about 60344.1993898337. The cubic root of 3641422400 is about 1538.4746801954.

Adding to 3641422400 its reverse (42241463), we get a palindrome (3683663863).

It can be divided in two parts, 36414 and 22400, that multiplied together give a square (815673600 = 28560²).

The spelling of 3641422400 in words is "three billion, six hundred forty-one million, four hundred twenty-two thousand, four hundred".