3403283040 has 576 divisors, whose sum is σ = 13473008640. Its totient is φ = 806215680.

The previous prime is 3403283027. The next prime is 3403283047. The reversal of 3403283040 is 403823043.

3403283040 is a `hidden beast` number, since 34 + 0 + 328 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3403282995 and 3403283013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403283047) 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 95 ways as a sum of consecutive naturals, for example, 12558105 + ... + 12558375.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2^3403283040 is an apocalyptic number.

3403283040 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 3403283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

3403283040 is an abundant number, since it is smaller than the sum of its proper divisors (10069725600).

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

3403283040 is a wasteful number, since it uses less digits than its factorization.

3403283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3403283040 is about 58337.6639916272. The cubic root of 3403283040 is about 1504.1784296759.

The spelling of 3403283040 in words is "three billion, four hundred three million, two hundred eighty-three thousand, forty".