3964396584960 has 720 divisors, whose sum is σ = 16533127228800. Its totient is φ = 858434568192.

The previous prime is 3964396584901. The next prime is 3964396584997. The reversal of 3964396584960 is 694856934693.

It is a happy number.

3964396584960 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 39 + 6 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98038026 + ... + 98078454.

Almost surely, 2^{3964396584960} is an apocalyptic number.

3964396584960 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 3964396584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266563614400).

3964396584960 is an abundant number, since it is smaller than the sum of its proper divisors (12568730643840).

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

3964396584960 is a wasteful number, since it uses less digits than its factorization.

3964396584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40494 (or 40465 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 3964396584960 in words is "three trillion, nine hundred sixty-four billion, three hundred ninety-six million, five hundred eighty-four thousand, nine hundred sixty".