3969483336000 has 4032 divisors, whose sum is σ = 19178386246656. Its totient is φ = 774918144000.

The previous prime is 3969483335933. The next prime is 3969483336029. The reversal of 3969483336000 is 6333849693.

3969483336000 is a `hidden beast` number, since 396 + 94 + 83 + 33 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55908215965 + ... + 55908216035.

It is an arithmetic number, because the mean of its divisors is an integer number (4756544208).

Almost surely, 2^{3969483336000} is an apocalyptic number.

3969483336000 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 3969483336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589193123328).

3969483336000 is an abundant number, since it is smaller than the sum of its proper divisors (15208902910656).

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

3969483336000 is a wasteful number, since it uses less digits than its factorization.

3969483336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 3969483336000 in words is "three trillion, nine hundred sixty-nine billion, four hundred eighty-three million, three hundred thirty-six thousand".