3408305040 has 400 divisors, whose sum is σ = 14000532480. Its totient is φ = 751887360.

The previous prime is 3408305029. The next prime is 3408305041. The reversal of 3408305040 is 405038043.

It is a happy number.

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 = 3408304995 and 3408305013.

It is not an unprimeable number, because it can be changed into a prime (3408305041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1314145 + ... + 1316735.

Almost surely, 2^3408305040 is an apocalyptic number.

3408305040 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 3408305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000266240).

3408305040 is an abundant number, since it is smaller than the sum of its proper divisors (10592227440).

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

3408305040 is a wasteful number, since it uses less digits than its factorization.

3408305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3408305040 is about 58380.6906433968. The cubic root of 3408305040 is about 1504.9179383003.

The spelling of 3408305040 in words is "three billion, four hundred eight million, three hundred five thousand, forty".