3966620559120 has 320 divisors, whose sum is σ = 14748459609600. Its totient is φ = 976886507520.

The previous prime is 3966620559101. The next prime is 3966620559127. The reversal of 3966620559120 is 219550266693.

It is a happy number.

It is a super-3 number, since 3×3966620559120³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3966620559127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64110 + ... + 2817330.

It is an arithmetic number, because the mean of its divisors is an integer number (46088936280).

Almost surely, 2^{3966620559120} is an apocalyptic number.

3966620559120 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 3966620559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374229804800).

3966620559120 is an abundant number, since it is smaller than the sum of its proper divisors (10781839050480).

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

3966620559120 is a wasteful number, since it uses less digits than its factorization.

3966620559120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753295 (or 2753283 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3966620559120 in words is "three trillion, nine hundred sixty-six billion, six hundred twenty million, five hundred fifty-nine thousand, one hundred twenty".