3166411953600 has 840 divisors, whose sum is σ = 13451438293920. Its totient is φ = 715601018880.

The previous prime is 3166411953587. The next prime is 3166411953629. The reversal of 3166411953600 is 63591146613.

3166411953600 is a `hidden beast` number, since 3 + 1 + 66 + 41 + 19 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80721192 + ... + 80760408.

Almost surely, 2^{3166411953600} is an apocalyptic number.

3166411953600 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 3166411953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725719146960).

3166411953600 is an abundant number, since it is smaller than the sum of its proper divisors (10285026340320).

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

3166411953600 is a wasteful number, since it uses less digits than its factorization.

3166411953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39347 (or 39323 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3166411953600 in words is "three trillion, one hundred sixty-six billion, four hundred eleven million, nine hundred fifty-three thousand, six hundred".