3981454560 has 720 divisors, whose sum is σ = 15892674336. Its totient is φ = 936105984.

The previous prime is 3981454549. The next prime is 3981454571. The reversal of 3981454560 is 654541893.

3981454560 is a `hidden beast` number, since 3 + 9 + 81 + 4 + 5 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3981454549) and next prime (3981454571).

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 107606862 + ... + 107606898.

Almost surely, 2^3981454560 is an apocalyptic number.

3981454560 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 3981454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946337168).

3981454560 is an abundant number, since it is smaller than the sum of its proper divisors (11911219776).

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

3981454560 is a wasteful number, since it uses less digits than its factorization.

3981454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3981454560 is about 63098.7682922575. The cubic root of 3981454560 is about 1584.9439965352.

The spelling of 3981454560 in words is "three billion, nine hundred eighty-one million, four hundred fifty-four thousand, five hundred sixty".