3974896800000 has 2592 divisors, whose sum is σ = 17855241191424. Its totient is φ = 862202880000.

The previous prime is 3974896799983. The next prime is 3974896800001. The reversal of 3974896800000 is 86984793.

3974896800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3974896800000.

It is not an unprimeable number, because it can be changed into a prime (3974896800001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31298399937 + ... + 31298400063.

Almost surely, 2^{3974896800000} is an apocalyptic number.

3974896800000 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 3974896800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927620595712).

3974896800000 is an abundant number, since it is smaller than the sum of its proper divisors (13880344391424).

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

3974896800000 is an frugal number, since it uses more digits than its factorization.

3974896800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3974896800000 in words is "three trillion, nine hundred seventy-four billion, eight hundred ninety-six million, eight hundred thousand".