3409127040 has 512 divisors, whose sum is σ = 12634030080. Its totient is φ = 774144000.

The previous prime is 3409127027. The next prime is 3409127077. The reversal of 3409127040 is 407219043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3409126989 and 3409127007.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26843457 + ... + 26843583.

It is an arithmetic number, because the mean of its divisors is an integer number (24675840).

Almost surely, 2^3409127040 is an apocalyptic number.

3409127040 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 3409127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317015040).

3409127040 is an abundant number, since it is smaller than the sum of its proper divisors (9224903040).

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

3409127040 is a wasteful number, since it uses less digits than its factorization.

3409127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3409127040 is about 58387.7302179148. The cubic root of 3409127040 is about 1505.0389117359.

The spelling of 3409127040 in words is "three billion, four hundred nine million, one hundred twenty-seven thousand, forty".