3966271598592 has 624 divisors, whose sum is σ = 12609699822720. Its totient is φ = 1242169344000.

The previous prime is 3966271598557. The next prime is 3966271598609. The reversal of 3966271598592 is 2958951726693.

It is a happy number.

3966271598592 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 27 + 1 + 5 + 9 + 8 + 592 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3966271598592.

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, 2477370592 + ... + 2477372192.

It is an arithmetic number, because the mean of its divisors is an integer number (20207852280).

Almost surely, 2^{3966271598592} is an apocalyptic number.

3966271598592 is a gapful number since it is divisible by the number (32) 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 3966271598592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304849911360).

3966271598592 is an abundant number, since it is smaller than the sum of its proper divisors (8643428224128).

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

3966271598592 is a wasteful number, since it uses less digits than its factorization.

3966271598592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1756 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 3966271598592 in words is "three trillion, nine hundred sixty-six billion, two hundred seventy-one million, five hundred ninety-eight thousand, five hundred ninety-two".