3408442560 has 168 divisors, whose sum is σ = 12102120576. Its totient is φ = 879575040.

The previous prime is 3408442549. The next prime is 3408442573. The reversal of 3408442560 is 652448043.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 70192 + ... + 108368.

It is an arithmetic number, because the mean of its divisors is an integer number (72036432).

Almost surely, 2^3408442560 is an apocalyptic number.

3408442560 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 3408442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051060288).

3408442560 is an abundant number, since it is smaller than the sum of its proper divisors (8693678016).

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

3408442560 is a wasteful number, since it uses less digits than its factorization.

3408442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38231 (or 38218 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3408442560 is about 58381.8684181998. The cubic root of 3408442560 is about 1504.9381784225.

The spelling of 3408442560 in words is "three billion, four hundred eight million, four hundred forty-two thousand, five hundred sixty".