3165017000 has 128 divisors (see below), whose sum is σ = 7683755040. Its totient is φ = 1219276800.

The previous prime is 3165016991. The next prime is 3165017029. The reversal of 3165017000 is 7105613.

3165017000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 196728676 + 2968288324 = 14026^2 + 54482^2 .

It is a super-2 number, since 2×3165017000² = 20034665220578000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4180622 + ... + 4181378.

Almost surely, 2^3165017000 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 3165017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841877520).

3165017000 is an abundant number, since it is smaller than the sum of its proper divisors (4518738040).

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

3165017000 is a wasteful number, since it uses less digits than its factorization.

3165017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 3165017000 is about 56258.4838046672. The cubic root of 3165017000 is about 1468.2229749385. Note that the first 3 decimals are identical.

The spelling of 3165017000 in words is "three billion, one hundred sixty-five million, seventeen thousand".