3987953948160 has 1440 divisors, whose sum is σ = 17728362812160. Its totient is φ = 841259188224.

The previous prime is 3987953948123. The next prime is 3987953948203. The reversal of 3987953948160 is 618493597893.

3987953948160 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 9 + 539 + 4 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735917931 + ... + 735923349.

It is an arithmetic number, because the mean of its divisors is an integer number (12311363064).

Almost surely, 2^{3987953948160} is an apocalyptic number.

3987953948160 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 3987953948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864181406080).

3987953948160 is an abundant number, since it is smaller than the sum of its proper divisors (13740408864000).

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

3987953948160 is an equidigital number, since it uses as much as digits as its factorization.

3987953948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 3987953948160 in words is "three trillion, nine hundred eighty-seven billion, nine hundred fifty-three million, nine hundred forty-eight thousand, one hundred sixty".