3988787452416 has 800 divisors, whose sum is σ = 13114293912720. Its totient is φ = 1199617081344.

The previous prime is 3988787452409. The next prime is 3988787452451. The reversal of 3988787452416 is 6142547878893.

It is a happy number.

3988787452416 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 7 + 87 + 4 + 524 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1477449974016 + 2511337478400 = 1215504^2 + 1584720^2 .

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

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, 4654360660 + ... + 4654361516.

Almost surely, 2^{3988787452416} is an apocalyptic number.

3988787452416 is a gapful number since it is divisible by the number (36) 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 3988787452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557146956360).

3988787452416 is an abundant number, since it is smaller than the sum of its proper divisors (9125506460304).

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

3988787452416 is an equidigital number, since it uses as much as digits as its factorization.

3988787452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 3988787452416 in words is "three trillion, nine hundred eighty-eight billion, seven hundred eighty-seven million, four hundred fifty-two thousand, four hundred sixteen".