3998948611680 has 768 divisors, whose sum is σ = 15515340825600. Its totient is φ = 961860556800.

The previous prime is 3998948611627. The next prime is 3998948611717. The reversal of 3998948611680 is 861168498993.

3998948611680 is a `hidden beast` number, since 3 + 9 + 9 + 89 + 486 + 1 + 1 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3998948611599 and 3998948611608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753236866 + ... + 753242174.

It is an arithmetic number, because the mean of its divisors is an integer number (20202266700).

Almost surely, 2^{3998948611680} is an apocalyptic number.

3998948611680 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 3998948611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757670412800).

3998948611680 is an abundant number, since it is smaller than the sum of its proper divisors (11516392213920).

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

3998948611680 is a wasteful number, since it uses less digits than its factorization.

3998948611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 3998948611680 in words is "three trillion, nine hundred ninety-eight billion, nine hundred forty-eight million, six hundred eleven thousand, six hundred eighty".