3403832628240 has 720 divisors, whose sum is σ = 13711501514880. Its totient is φ = 776609648640.

The previous prime is 3403832628191. The next prime is 3403832628247. The reversal of 3403832628240 is 428262383043.

3403832628240 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 8 + 326 + 282 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3403832628240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3403832628247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98135221 + ... + 98169899.

It is an arithmetic number, because the mean of its divisors is an integer number (19043752104).

Almost surely, 2^{3403832628240} is an apocalyptic number.

3403832628240 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 3403832628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855750757440).

3403832628240 is an abundant number, since it is smaller than the sum of its proper divisors (10307668886640).

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

3403832628240 is a wasteful number, since it uses less digits than its factorization.

3403832628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34744 (or 34717 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3403832628240 in words is "three trillion, four hundred three billion, eight hundred thirty-two million, six hundred twenty-eight thousand, two hundred forty".