3405544000 has 112 divisors (see below), whose sum is σ = 8493404400. Its totient is φ = 1352601600.

The previous prime is 3405543961. The next prime is 3405544003. The reversal of 3405544000 is 4455043.

3405544000 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 8 ways, for example, as 1531000384 + 1874543616 = 39128^2 + 43296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3405544003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190572 + ... + 1193428.

Almost surely, 2^3405544000 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 3405544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246702200).

3405544000 is an abundant number, since it is smaller than the sum of its proper divisors (5087860400).

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

3405544000 is a wasteful number, since it uses less digits than its factorization.

3405544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 3405544000 is about 58357.0389927385. The cubic root of 3405544000 is about 1504.5114546185.

Adding to 3405544000 its reverse (4455043), we get a palindrome (3409999043).

The spelling of 3405544000 in words is "three billion, four hundred five million, five hundred forty-four thousand".