3721974400 has 96 divisors (see below), whose sum is σ = 9311457600. Its totient is φ = 1469844480.

The previous prime is 3721974371. The next prime is 3721974413. The reversal of 3721974400 is 44791273.

It is a self number, because there is not a number n which added to its sum of digits gives 3721974400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245439 + ... + 260161.

It is an arithmetic number, because the mean of its divisors is an integer number (96994350).

Almost surely, 2^3721974400 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 3721974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655728800).

3721974400 is an abundant number, since it is smaller than the sum of its proper divisors (5589483200).

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

3721974400 is a wasteful number, since it uses less digits than its factorization.

3721974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14826 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 3721974400 is about 61007.9863624427. The cubic root of 3721974400 is about 1549.7362575878.

It can be divided in two parts, 3721 and 974400, that added together give a square (978121 = 989²).

The spelling of 3721974400 in words is "three billion, seven hundred twenty-one million, nine hundred seventy-four thousand, four hundred".