3774721600 has 168 divisors, whose sum is σ = 10070058600. Its totient is φ = 1384366080.

The previous prime is 3774721591. The next prime is 3774721607. The reversal of 3774721600 is 61274773.

3774721600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 234947584 + 3539774016 = 15328^2 + 59496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3774721600.

It is not an unprimeable number, because it can be changed into a prime (3774721607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3597876 + ... + 3598924.

It is an arithmetic number, because the mean of its divisors is an integer number (59940825).

Almost surely, 2^3774721600 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 3774721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035029300).

3774721600 is an abundant number, since it is smaller than the sum of its proper divisors (6295337000).

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

3774721600 is a wasteful number, since it uses less digits than its factorization.

3774721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 3774721600 is about 61438.7630083810. The cubic root of 3774721600 is about 1557.0228118164.

The spelling of 3774721600 in words is "three billion, seven hundred seventy-four million, seven hundred twenty-one thousand, six hundred".