3943482980400 has 960 divisors, whose sum is σ = 15003984445440. Its totient is φ = 982090137600.

The previous prime is 3943482980389. The next prime is 3943482980401. The reversal of 3943482980400 is 40892843493.

3943482980400 is a `hidden beast` number, since 3 + 9 + 4 + 348 + 298 + 0 + 4 + 0 + 0 = 666.

3943482980400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3943482980401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1148697084 + ... + 1148700516.

It is an arithmetic number, because the mean of its divisors is an integer number (15629150464).

Almost surely, 2^{3943482980400} is an apocalyptic number.

3943482980400 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 3943482980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501992222720).

3943482980400 is an abundant number, since it is smaller than the sum of its proper divisors (11060501465040).

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

3943482980400 is a wasteful number, since it uses less digits than its factorization.

3943482980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3943482980400 in words is "three trillion, nine hundred forty-three billion, four hundred eighty-two million, nine hundred eighty thousand, four hundred".