3987273465000 has 640 divisors, whose sum is σ = 15869480140800. Its totient is φ = 908379360000.

The previous prime is 3987273464927. The next prime is 3987273465001. The reversal of 3987273465000 is 5643727893.

3987273465000 is a `hidden beast` number, since 3 + 9 + 87 + 27 + 34 + 6 + 500 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3987273465001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 293888217 + ... + 293901783.

It is an arithmetic number, because the mean of its divisors is an integer number (24796062720).

Almost surely, 2^{3987273465000} is an apocalyptic number.

3987273465000 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 3987273465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934740070400).

3987273465000 is an abundant number, since it is smaller than the sum of its proper divisors (11882206675800).

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

3987273465000 is a wasteful number, since it uses less digits than its factorization.

3987273465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3987273465000 in words is "three trillion, nine hundred eighty-seven billion, two hundred seventy-three million, four hundred sixty-five thousand".