3166771438656 has 672 divisors, whose sum is σ = 11013062860800. Its totient is φ = 868700851200.

The previous prime is 3166771438643. The next prime is 3166771438729. The reversal of 3166771438656 is 6568341776613.

It is a happy number.

3166771438656 is a `hidden beast` number, since 3 + 16 + 67 + 71 + 438 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3166771438593 and 3166771438602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802321675 + ... + 802325621.

It is an arithmetic number, because the mean of its divisors is an integer number (16388486400).

Almost surely, 2^{3166771438656} is an apocalyptic number.

3166771438656 is a gapful number since it is divisible by the number (36) 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 3166771438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506531430400).

3166771438656 is an abundant number, since it is smaller than the sum of its proper divisors (7846291422144).

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

3166771438656 is a wasteful number, since it uses less digits than its factorization.

3166771438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4121 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 3166771438656 in words is "three trillion, one hundred sixty-six billion, seven hundred seventy-one million, four hundred thirty-eight thousand, six hundred fifty-six".