3987717305040 has 1120 divisors, whose sum is σ = 16771792250880. Its totient is φ = 860977880064.

The previous prime is 3987717304997. The next prime is 3987717305051. The reversal of 3987717305040 is 405037177893.

3987717305040 is a `hidden beast` number, since 3 + 98 + 7 + 7 + 17 + 30 + 504 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 4056680389 + ... + 4056681371.

Almost surely, 2^{3987717305040} is an apocalyptic number.

3987717305040 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 3987717305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385896125440).

3987717305040 is an abundant number, since it is smaller than the sum of its proper divisors (12784074945840).

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

3987717305040 is a wasteful number, since it uses less digits than its factorization.

3987717305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 3987717305040 in words is "three trillion, nine hundred eighty-seven billion, seven hundred seventeen million, three hundred five thousand, forty".