3981277440 has 432 divisors, whose sum is σ = 16441608960. Its totient is φ = 909619200.

The previous prime is 3981277387. The next prime is 3981277451. The reversal of 3981277440 is 447721893.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692265 + ... + 1694615.

It is an arithmetic number, because the mean of its divisors is an integer number (38059280).

Almost surely, 2^3981277440 is an apocalyptic number.

3981277440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220804480).

3981277440 is an abundant number, since it is smaller than the sum of its proper divisors (12460331520).

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

3981277440 is a wasteful number, since it uses less digits than its factorization.

3981277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3981277440 is about 63097.3647627221. The cubic root of 3981277440 is about 1584.9204934461.

The spelling of 3981277440 in words is "three billion, nine hundred eighty-one million, two hundred seventy-seven thousand, four hundred forty".