3418018560 has 648 divisors, whose sum is σ = 13758662736. Its totient is φ = 806215680.

The previous prime is 3418018501. The next prime is 3418018579. The reversal of 3418018560 is 658108143.

3418018560 is a `hidden beast` number, since 3 + 4 + 1 + 80 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92378862 + ... + 92378898.

Almost surely, 2^3418018560 is an apocalyptic number.

3418018560 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 3418018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879331368).

3418018560 is an abundant number, since it is smaller than the sum of its proper divisors (10340644176).

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

3418018560 is an frugal number, since it uses more digits than its factorization.

3418018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3418018560 is about 58463.8226598296. The cubic root of 3418018560 is about 1506.3462323577.

The spelling of 3418018560 in words is "three billion, four hundred eighteen million, eighteen thousand, five hundred sixty".