3887558115840 has 800 divisors, whose sum is σ = 16077783705984. Its totient is φ = 879392194560.

The previous prime is 3887558115809. The next prime is 3887558115869. The reversal of 3887558115840 is 485118557883.

3887558115840 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 5 + 581 + 1 + 5 + 8 + 40 = 666.

It is a super-2 number, since 2×3887558115840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140783635 + ... + 140811245.

Almost surely, 2^{3887558115840} is an apocalyptic number.

3887558115840 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 3887558115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038891852992).

3887558115840 is an abundant number, since it is smaller than the sum of its proper divisors (12190225590144).

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

3887558115840 is an equidigital number, since it uses as much as digits as its factorization.

3887558115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27750 (or 27725 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 3887558115840 in words is "three trillion, eight hundred eighty-seven billion, five hundred fifty-eight million, one hundred fifteen thousand, eight hundred forty".