3405002000 has 80 divisors (see below), whose sum is σ = 8265207600. Its totient is φ = 1356723200.

The previous prime is 3405001987. The next prime is 3405002017. The reversal of 3405002000 is 2005043.

It can be written as a sum of positive squares in 8 ways, for example, as 1514143744 + 1890858256 = 38912^2 + 43484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534836 + ... + 541164.

It is an arithmetic number, because the mean of its divisors is an integer number (103315095).

Almost surely, 2^3405002000 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 3405002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132603800).

3405002000 is an abundant number, since it is smaller than the sum of its proper divisors (4860205600).

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

3405002000 is a wasteful number, since it uses less digits than its factorization.

3405002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3405002000 is about 58352.3949808403. The cubic root of 3405002000 is about 1504.4316349213.

Adding to 3405002000 its reverse (2005043), we get a palindrome (3407007043).

The spelling of 3405002000 in words is "three billion, four hundred five million, two thousand".