3206712960000 has 1980 divisors, whose sum is σ = 13135309243056. Its totient is φ = 752209920000.

The previous prime is 3206712959959. The next prime is 3206712960013. The reversal of 3206712960000 is 692176023.

3206712960000 is a `hidden beast` number, since 3 + 20 + 6 + 7 + 1 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 29969279947 + ... + 29969280053.

Almost surely, 2^{3206712960000} is an apocalyptic number.

3206712960000 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 3206712960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567654621528).

3206712960000 is an abundant number, since it is smaller than the sum of its proper divisors (9928596283056).

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

3206712960000 is a wasteful number, since it uses less digits than its factorization.

3206712960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3206712960000 in words is "three trillion, two hundred six billion, seven hundred twelve million, nine hundred sixty thousand".