3987567090288 has 60 divisors (see below), whose sum is σ = 11162973232320. Its totient is φ = 1328793159168.

The previous prime is 3987567090259. The next prime is 3987567090293. The reversal of 3987567090288 is 8820907657893.

3987567090288 is a `hidden beast` number, since 39 + 8 + 7 + 567 + 0 + 9 + 0 + 28 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 3638281 + ... + 4605672.

It is an arithmetic number, because the mean of its divisors is an integer number (186049553872).

Almost surely, 2^{3987567090288} is an apocalyptic number.

It is an amenable number.

3987567090288 is an abundant number, since it is smaller than the sum of its proper divisors (7175406142032).

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

3987567090288 is a wasteful number, since it uses less digits than its factorization.

3987567090288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247326 (or 8247317 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 3987567090288 in words is "three trillion, nine hundred eighty-seven billion, five hundred sixty-seven million, ninety thousand, two hundred eighty-eight".