3774484224 has 288 divisors, whose sum is σ = 12856596480. Its totient is φ = 1069977600.

The previous prime is 3774484187. The next prime is 3774484277. The reversal of 3774484224 is 4224844773.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3774484224.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8757289 + ... + 8757719.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^3774484224 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 3774484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3774484224 is an abundant number, since it is smaller than the sum of its proper divisors (9082112256).

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

3774484224 is a wasteful number, since it uses less digits than its factorization.

3774484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The square root of 3774484224 is about 61436.8311682821. The cubic root of 3774484224 is about 1556.9901729771.

The spelling of 3774484224 in words is "three billion, seven hundred seventy-four million, four hundred eighty-four thousand, two hundred twenty-four".