3998207825920 has 576 divisors, whose sum is σ = 12230311111200. Its totient is φ = 1240447057920.

The previous prime is 3998207825891. The next prime is 3998207825959. The reversal of 3998207825920 is 295287028993.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286009326 + ... + 1286012434.

Almost surely, 2^{3998207825920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998207825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115155555600).

3998207825920 is an abundant number, since it is smaller than the sum of its proper divisors (8232103285280).

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

3998207825920 is a wasteful number, since it uses less digits than its factorization.

3998207825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 3998207825920 in words is "three trillion, nine hundred ninety-eight billion, two hundred seven million, eight hundred twenty-five thousand, nine hundred twenty".