3403205520 has 640 divisors, whose sum is σ = 13859112960. Its totient is φ = 676823040.

The previous prime is 3403205497. The next prime is 3403205543. The reversal of 3403205520 is 255023043.

It is an interprime number because it is at equal distance from previous prime (3403205497) and next prime (3403205543).

It is a super-2 number, since 2×3403205520² = 23163615622716940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11085207 + ... + 11085513.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^3403205520 is an apocalyptic number.

3403205520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

3403205520 is an abundant number, since it is smaller than the sum of its proper divisors (10455907440).

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

3403205520 is a wasteful number, since it uses less digits than its factorization.

3403205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3403205520 is about 58336.9995800264. Note that the first 3 decimals coincide. The cubic root of 3403205520 is about 1504.1670088609.

Adding to 3403205520 its reverse (255023043), we get a palindrome (3658228563).

The spelling of 3403205520 in words is "three billion, four hundred three million, two hundred five thousand, five hundred twenty".