3405032000 has 112 divisors (see below), whose sum is σ = 8928951408. Its totient is φ = 1281843200.

The previous prime is 3405031969. The next prime is 3405032023. The reversal of 3405032000 is 2305043.

It can be written as a sum of positive squares in 8 ways, for example, as 673506304 + 2731525696 = 25952^2 + 52264^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3405032000.

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, 123482 + ... + 148518.

Almost surely, 2^3405032000 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 3405032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464475704).

3405032000 is an abundant number, since it is smaller than the sum of its proper divisors (5523919408).

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

3405032000 is a wasteful number, since it uses less digits than its factorization.

3405032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25081 (or 25061 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3405032000 is about 58352.6520391319. The cubic root of 3405032000 is about 1504.4360532072.

Adding to 3405032000 its reverse (2305043), we get a palindrome (3407337043).

The spelling of 3405032000 in words is "three billion, four hundred five million, thirty-two thousand".