3991887360 has 640 divisors, whose sum is σ = 15461867520. Its totient is φ = 985374720.

The previous prime is 3991887359. The next prime is 3991887371. The reversal of 3991887360 is 637881993.

3991887360 is a `hidden beast` number, since 399 + 188 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3991887297 and 3991887306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128770545 + ... + 128770575.

It is an arithmetic number, because the mean of its divisors is an integer number (24159168).

Almost surely, 2^3991887360 is an apocalyptic number.

3991887360 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 3991887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730933760).

3991887360 is an abundant number, since it is smaller than the sum of its proper divisors (11469980160).

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

3991887360 is an frugal number, since it uses more digits than its factorization.

3991887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3991887360 is about 63181.3846002127. The cubic root of 3991887360 is about 1586.3271578584.

The spelling of 3991887360 in words is "three billion, nine hundred ninety-one million, eight hundred eighty-seven thousand, three hundred sixty".