3965461665984 has 1344 divisors, whose sum is σ = 15451838438400. Its totient is φ = 979068321792.

The previous prime is 3965461665983. The next prime is 3965461666007. The reversal of 3965461665984 is 4895661645693.

3965461665984 is a `hidden beast` number, since 3 + 9 + 6 + 546 + 16 + 65 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3965461665983) 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, 2393156484 + ... + 2393158140.

It is an arithmetic number, because the mean of its divisors is an integer number (11496903600).

Almost surely, 2^{3965461665984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965461665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725919219200).

3965461665984 is an abundant number, since it is smaller than the sum of its proper divisors (11486376772416).

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

3965461665984 is a wasteful number, since it uses less digits than its factorization.

3965461665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1790 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 3965461665984 in words is "three trillion, nine hundred sixty-five billion, four hundred sixty-one million, six hundred sixty-five thousand, nine hundred eighty-four".