3406018560 has 384 divisors, whose sum is σ = 12755957760. Its totient is φ = 759693312.

The previous prime is 3406018547. The next prime is 3406018589. The reversal of 3406018560 is 658106043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10106712 + ... + 10107048.

It is an arithmetic number, because the mean of its divisors is an integer number (33218640).

Almost surely, 2^3406018560 is an apocalyptic number.

3406018560 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 3406018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377978880).

3406018560 is an abundant number, since it is smaller than the sum of its proper divisors (9349939200).

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

3406018560 is a wasteful number, since it uses less digits than its factorization.

3406018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3406018560 is about 58361.1048558884. The cubic root of 3406018560 is about 1504.5813355533.

The spelling of 3406018560 in words is "three billion, four hundred six million, eighteen thousand, five hundred sixty".