3415130000 has 100 divisors (see below), whose sum is σ = 8755181820. Its totient is φ = 1285632000.

The previous prime is 3415129997. The next prime is 3415130003. The reversal of 3415130000 is 315143.

It is an interprime number because it is at equal distance from previous prime (3415129997) and next prime (3415130003).

It can be written as a sum of positive squares in 10 ways, for example, as 2789529856 + 625600144 = 52816^2 + 25012^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3415130000² = 23326225833800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (3415130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159956 + ... + 180044.

Almost surely, 2^3415130000 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 3415130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377590910).

3415130000 is an abundant number, since it is smaller than the sum of its proper divisors (5340051820).

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

3415130000 is a wasteful number, since it uses less digits than its factorization.

3415130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20134 (or 20113 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 3415130000 is about 58439.1136140856. The cubic root of 3415130000 is about 1505.9217761321.

Adding to 3415130000 its reverse (315143), we get a palindrome (3415445143).

The spelling of 3415130000 in words is "three billion, four hundred fifteen million, one hundred thirty thousand".