3166748237952 has 512 divisors, whose sum is σ = 10196879616000. Its totient is φ = 961713782784.

The previous prime is 3166748237951. The next prime is 3166748237981. The reversal of 3166748237952 is 2597328476613.

It is a happy number.

3166748237952 is a `hidden beast` number, since 3 + 1 + 6 + 67 + 482 + 3 + 7 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3166748237952.

It is not an unprimeable number, because it can be changed into a prime (3166748237951) 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, 1434864433 + ... + 1434866639.

It is an arithmetic number, because the mean of its divisors is an integer number (19915780500).

Almost surely, 2^{3166748237952} is an apocalyptic number.

3166748237952 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 3166748237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098439808000).

3166748237952 is an abundant number, since it is smaller than the sum of its proper divisors (7030131378048).

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

3166748237952 is a wasteful number, since it uses less digits than its factorization.

3166748237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2627 counting only the distinct ones).

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

The spelling of 3166748237952 in words is "three trillion, one hundred sixty-six billion, seven hundred forty-eight million, two hundred thirty-seven thousand, nine hundred fifty-two".