3987947520 has 300 divisors, whose sum is σ = 14320882884. Its totient is φ = 1061683200.

The previous prime is 3987947519. The next prime is 3987947549. The reversal of 3987947520 is 257497893.

3987947520 is a `hidden beast` number, since 3 + 9 + 8 + 79 + 47 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2453815296 + 1534132224 = 49536^2 + 39168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635220 + ... + 6635820.

Almost surely, 2^3987947520 is an apocalyptic number.

3987947520 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 3987947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160441442).

3987947520 is an abundant number, since it is smaller than the sum of its proper divisors (10332935364).

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

3987947520 is an frugal number, since it uses more digits than its factorization.

3987947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3987947520 is about 63150.1980994518. The cubic root of 3987947520 is about 1585.8051046805.

The spelling of 3987947520 in words is "three billion, nine hundred eighty-seven million, nine hundred forty-seven thousand, five hundred twenty".