3470166144 has 128 divisors (see below), whose sum is σ = 10284292800. Its totient is φ = 1151926272.

The previous prime is 3470166121. The next prime is 3470166151. The reversal of 3470166144 is 4416610743.

3470166144 is a `hidden beast` number, since 34 + 7 + 0 + 1 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 3470166099 and 3470166108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886239 + ... + 890145.

Almost surely, 2^3470166144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3470166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142146400).

3470166144 is an abundant number, since it is smaller than the sum of its proper divisors (6814126656).

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

3470166144 is a wasteful number, since it uses less digits than its factorization.

3470166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3470166144 is about 58908.1161131469. The cubic root of 3470166144 is about 1513.9682103116.

Adding to 3470166144 its reverse (4416610743), we get a palindrome (7886776887).

The spelling of 3470166144 in words is "three billion, four hundred seventy million, one hundred sixty-six thousand, one hundred forty-four".