3145034000 has 160 divisors (see below), whose sum is σ = 8106954336. Its totient is φ = 1175961600.

The previous prime is 3145033973. The next prime is 3145034047. The reversal of 3145034000 is 4305413.

3145034000 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 1998805264 + 1146228736 = 44708^2 + 33856^2 .

It is a super-2 number, since 2×3145034000² = 19782477722312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7921802 + ... + 7922198.

Almost surely, 2^3145034000 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 3145034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053477168).

3145034000 is an abundant number, since it is smaller than the sum of its proper divisors (4961920336).

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

3145034000 is a wasteful number, since it uses less digits than its factorization.

3145034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3145034000 is about 56080.6027071750. The cubic root of 3145034000 is about 1465.1264708501.

Adding to 3145034000 its reverse (4305413), we get a palindrome (3149339413).

The spelling of 3145034000 in words is "three billion, one hundred forty-five million, thirty-four thousand".