3988313690460 has 192 divisors, whose sum is σ = 12463414354944. Its totient is φ = 944809062400.

The previous prime is 3988313690423. The next prime is 3988313690477. The reversal of 3988313690460 is 640963138893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3988313690394 and 3988313690403.

It is a congruent number.

It is an unprimeable number.

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, 4918582 + ... + 5671778.

It is an arithmetic number, because the mean of its divisors is an integer number (64913616432).

Almost surely, 2^{3988313690460} is an apocalyptic number.

3988313690460 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 3988313690460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231707177472).

3988313690460 is an abundant number, since it is smaller than the sum of its proper divisors (8475100664484).

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

3988313690460 is a wasteful number, since it uses less digits than its factorization.

3988313690460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753404 (or 753402 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 3988313690460 in words is "three trillion, nine hundred eighty-eight billion, three hundred thirteen million, six hundred ninety thousand, four hundred sixty".