3408985890 has 96 divisors (see below), whose sum is σ = 9365803200. Its totient is φ = 857900160.

The previous prime is 3408985849. The next prime is 3408985903. The reversal of 3408985890 is 985898043.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 456285 + ... + 463695.

It is an arithmetic number, because the mean of its divisors is an integer number (97560450).

Almost surely, 2^3408985890 is an apocalyptic number.

3408985890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408985890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682901600).

3408985890 is an abundant number, since it is smaller than the sum of its proper divisors (5956817310).

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

3408985890 is a wasteful number, since it uses less digits than its factorization.

3408985890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3408985890 is about 58386.5214754227. The cubic root of 3408985890 is about 1505.0181401256.

The spelling of 3408985890 in words is "three billion, four hundred eight million, nine hundred eighty-five thousand, eight hundred ninety".