3774726144 has 480 divisors, whose sum is σ = 13589130240. Its totient is φ = 1012137984.

The previous prime is 3774726139. The next prime is 3774726149. The reversal of 3774726144 is 4416274773.

3774726144 is a `hidden beast` number, since 37 + 7 + 472 + 6 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (3774726139) and next prime (3774726149).

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 3774726144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774726149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71221222 + ... + 71221274.

It is an arithmetic number, because the mean of its divisors is an integer number (28310688).

Almost surely, 2^3774726144 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 3774726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794565120).

3774726144 is an abundant number, since it is smaller than the sum of its proper divisors (9814404096).

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

3774726144 is an equidigital number, since it uses as much as digits as its factorization.

3774726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 3774726144 is about 61438.7999882810. The cubic root of 3774726144 is about 1557.0234365961.

The spelling of 3774726144 in words is "three billion, seven hundred seventy-four million, seven hundred twenty-six thousand, one hundred forty-four".