3981166080 has 160 divisors (see below), whose sum is σ = 13476396384. Its totient is φ = 999161856.

The previous prime is 3981166043. The next prime is 3981166087. The reversal of 3981166080 is 806611893.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981166087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115314 + ... + 145806.

Almost surely, 2^3981166080 is an apocalyptic number.

3981166080 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 3981166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738198192).

3981166080 is an abundant number, since it is smaller than the sum of its proper divisors (9495230304).

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

3981166080 is a wasteful number, since it uses less digits than its factorization.

3981166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30536 (or 30520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 3981166080 is about 63096.4823108230. The cubic root of 3981166080 is about 1584.9057160792.

The spelling of 3981166080 in words is "three billion, nine hundred eighty-one million, one hundred sixty-six thousand, eighty".