3553345040 has 160 divisors (see below), whose sum is σ = 9973290240. Its totient is φ = 1150156800.

The previous prime is 3553345039. The next prime is 3553345043. The reversal of 3553345040 is 405433553.

It is a junction number, because it is equal to n+sod(n) for n = 3553344988 and 3553345006.

It is not an unprimeable number, because it can be changed into a prime (3553345043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5543120 + ... + 5543760.

It is an arithmetic number, because the mean of its divisors is an integer number (62333064).

Almost surely, 2^3553345040 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 3553345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986645120).

3553345040 is an abundant number, since it is smaller than the sum of its proper divisors (6419945200).

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

3553345040 is a wasteful number, since it uses less digits than its factorization.

3553345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 3553345040 is about 59609.9407817186. The cubic root of 3553345040 is about 1525.9692900862.

Adding to 3553345040 its reverse (405433553), we get a palindrome (3958778593).

The spelling of 3553345040 in words is "three billion, five hundred fifty-three million, three hundred forty-five thousand, forty".