3998700601344 has 544 divisors, whose sum is σ = 12614776352640. Its totient is φ = 1247520227328.

The previous prime is 3998700601339. The next prime is 3998700601417. The reversal of 3998700601344 is 4431060078993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9234874152 + ... + 9234874584.

Almost surely, 2^{3998700601344} is an apocalyptic number.

3998700601344 is a gapful number since it is divisible by the number (34) 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 3998700601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307388176320).

3998700601344 is an abundant number, since it is smaller than the sum of its proper divisors (8616075751296).

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

3998700601344 is an equidigital number, since it uses as much as digits as its factorization.

3998700601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3998700601344 in words is "three trillion, nine hundred ninety-eight billion, seven hundred million, six hundred one thousand, three hundred forty-four".