3981301560 has 96 divisors (see below), whose sum is σ = 12959987040. Its totient is φ = 1059977472.

The previous prime is 3981301549. The next prime is 3981301561. The reversal of 3981301560 is 651031893.

It is a happy number.

3981301560 is a `hidden beast` number, since 3 + 98 + 1 + 3 + 0 + 1 + 560 = 666.

It is a super-2 number, since 2×3981301560² = 31701524223316867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981301561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224374 + ... + 241466.

It is an arithmetic number, because the mean of its divisors is an integer number (134999865).

Almost surely, 2^3981301560 is an apocalyptic number.

3981301560 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 3981301560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479993520).

3981301560 is an abundant number, since it is smaller than the sum of its proper divisors (8978685480).

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

3981301560 is a wasteful number, since it uses less digits than its factorization.

3981301560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757 (or 17750 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3981301560 is about 63097.5558956129. Note that the first 3 decimals coincide. The cubic root of 3981301560 is about 1584.9236941110.

The spelling of 3981301560 in words is "three billion, nine hundred eighty-one million, three hundred one thousand, five hundred sixty".