3965284839744 has 672 divisors, whose sum is σ = 12410460596352. Its totient is φ = 1254113280000.

The previous prime is 3965284839743. The next prime is 3965284839833. The reversal of 3965284839744 is 4479384825693.

3965284839744 is a `hidden beast` number, since 3 + 9 + 6 + 52 + 8 + 483 + 97 + 4 + 4 = 666.

3965284839744 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965284839743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3772868019 + ... + 3772869069.

It is an arithmetic number, because the mean of its divisors is an integer number (18467947316).

Almost surely, 2^{3965284839744} 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 3965284839744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205230298176).

3965284839744 is an abundant number, since it is smaller than the sum of its proper divisors (8445175756608).

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

3965284839744 is a wasteful number, since it uses less digits than its factorization.

3965284839744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1255 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 3965284839744 in words is "three trillion, nine hundred sixty-five billion, two hundred eighty-four million, eight hundred thirty-nine thousand, seven hundred forty-four".