3106411324164 has 144 divisors (see below), whose sum is σ = 8483116155696. Its totient is φ = 954961920000.

The previous prime is 3106411324129. The next prime is 3106411324199. The reversal of 3106411324164 is 4614231146013.

3106411324164 is a `hidden beast` number, since 3 + 1 + 0 + 641 + 1 + 3 + 2 + 4 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3106411324129) and next prime (3106411324199).

It can be written as a sum of positive squares in 8 ways, for example, as 207700770564 + 2898710553600 = 455742^2 + 1702560^2 .

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 47 ways as a sum of consecutive naturals, for example, 5736714 + ... + 6254814.

It is an arithmetic number, because the mean of its divisors is an integer number (58910528859).

Almost surely, 2^{3106411324164} is an apocalyptic number.

3106411324164 is a gapful number since it is divisible by the number (34) 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 3106411324164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241558077848).

3106411324164 is an abundant number, since it is smaller than the sum of its proper divisors (5376704831532).

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

3106411324164 is a wasteful number, since it uses less digits than its factorization.

3106411324164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518326 (or 518321 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3106411324164 in words is "three trillion, one hundred six billion, four hundred eleven million, three hundred twenty-four thousand, one hundred sixty-four".