3988313677410 has 128 divisors (see below), whose sum is σ = 9861953181696. Its totient is φ = 1031678000640.

The previous prime is 3988313677343. The next prime is 3988313677417. The reversal of 3988313677410 is 147763138893.

It is not an unprimeable number, because it can be changed into a prime (3988313677417) 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 63 ways as a sum of consecutive naturals, for example, 317711694 + ... + 317724246.

It is an arithmetic number, because the mean of its divisors is an integer number (77046509232).

Almost surely, 2^{3988313677410} is an apocalyptic number.

3988313677410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988313677410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930976590848).

3988313677410 is an abundant number, since it is smaller than the sum of its proper divisors (5873639504286).

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

3988313677410 is a wasteful number, since it uses less digits than its factorization.

3988313677410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280.

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 3988313677410 in words is "three trillion, nine hundred eighty-eight billion, three hundred thirteen million, six hundred seventy-seven thousand, four hundred ten".