3981346560 has 144 divisors (see below), whose sum is σ = 14128373280. Its totient is φ = 1061683200.

The previous prime is 3981346531. The next prime is 3981346613. The reversal of 3981346560 is 656431893.

3981346560 is a `hidden beast` number, since 3 + 9 + 81 + 3 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3981346560² = 31702240861647667200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23041 + ... + 92160.

Almost surely, 2^3981346560 is an apocalyptic number.

3981346560 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 3981346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064186640).

3981346560 is an abundant number, since it is smaller than the sum of its proper divisors (10147026720).

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

3981346560 is a wasteful number, since it uses less digits than its factorization.

3981346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115231 (or 115211 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3981346560 is about 63097.9124852796. The cubic root of 3981346560 is about 1584.9296654662.

The spelling of 3981346560 in words is "three billion, nine hundred eighty-one million, three hundred forty-six thousand, five hundred sixty".