3966309389520 has 320 divisors, whose sum is σ = 13705825985280. Its totient is φ = 1054274918400.

The previous prime is 3966309389491. The next prime is 3966309389543. The reversal of 3966309389520 is 259839036693.

3966309389520 is a `hidden beast` number, since 396 + 6 + 30 + 93 + 89 + 52 + 0 = 666.

It is a super-2 number, since 2×3966309389520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012586602 + ... + 1012590518.

It is an arithmetic number, because the mean of its divisors is an integer number (42830706204).

Almost surely, 2^{3966309389520} is an apocalyptic number.

3966309389520 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 3966309389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852912992640).

3966309389520 is an abundant number, since it is smaller than the sum of its proper divisors (9739516595760).

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

3966309389520 is a wasteful number, since it uses less digits than its factorization.

3966309389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 3966309389520 in words is "three trillion, nine hundred sixty-six billion, three hundred nine million, three hundred eighty-nine thousand, five hundred twenty".