3721405600 has 288 divisors, whose sum is σ = 10326839040. Its totient is φ = 1297920000.

The previous prime is 3721405591. The next prime is 3721405601. The reversal of 3721405600 is 65041273.

It is a super-2 number, since 2×3721405600² = 27697719279422720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3721405601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36845550 + ... + 36845650.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080).

Almost surely, 2^3721405600 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 3721405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163419520).

3721405600 is an abundant number, since it is smaller than the sum of its proper divisors (6605433440).

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

3721405600 is a wasteful number, since it uses less digits than its factorization.

3721405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3721405600 is about 61003.3244995713. The cubic root of 3721405600 is about 1549.6573089084.

Adding to 3721405600 its reverse (65041273), we get a palindrome (3786446873).

The spelling of 3721405600 in words is "three billion, seven hundred twenty-one million, four hundred five thousand, six hundred".