3881247744 has 176 divisors, whose sum is σ = 11352105216. Its totient is φ = 1169203200.

The previous prime is 3881247737. The next prime is 3881247749. The reversal of 3881247744 is 4477421883.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3881247693 and 3881247702.

It is not an unprimeable number, because it can be changed into a prime (3881247749) 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 15 ways as a sum of consecutive naturals, for example, 11184979 + ... + 11185325.

Almost surely, 2^3881247744 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 3881247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676052608).

3881247744 is an abundant number, since it is smaller than the sum of its proper divisors (7470857472).

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

3881247744 is a wasteful number, since it uses less digits than its factorization.

3881247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 3881247744 is about 62299.6608658506. The cubic root of 3881247744 is about 1571.5340252695.

The spelling of 3881247744 in words is "three billion, eight hundred eighty-one million, two hundred forty-seven thousand, seven hundred forty-four".