3988997760000 has 880 divisors, whose sum is σ = 14715266607360. Its totient is φ = 952258560000.

The previous prime is 3988997759993. The next prime is 3988997760017. The reversal of 3988997760000 is 677998893.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1415038591 + ... + 1415041409.

It is an arithmetic number, because the mean of its divisors is an integer number (16721893872).

Almost surely, 2^{3988997760000} is an apocalyptic number.

3988997760000 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 3988997760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357633303680).

3988997760000 is an abundant number, since it is smaller than the sum of its proper divisors (10726268847360).

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

3988997760000 is a wasteful number, since it uses less digits than its factorization.

3988997760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The spelling of 3988997760000 in words is "three trillion, nine hundred eighty-eight billion, nine hundred ninety-seven million, seven hundred sixty thousand".