3418468560 has 240 divisors, whose sum is σ = 12404862288. Its totient is φ = 838656000.

The previous prime is 3418468553. The next prime is 3418468577. The reversal of 3418468560 is 658648143.

3418468560 is a `hidden beast` number, since 3 + 4 + 1 + 84 + 6 + 8 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 102090816 + 3316377744 = 10104^2 + 57588^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4876210 + ... + 4876910.

Almost surely, 2^3418468560 is an apocalyptic number.

3418468560 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 3418468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202431144).

3418468560 is an abundant number, since it is smaller than the sum of its proper divisors (8986393728).

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

3418468560 is a wasteful number, since it uses less digits than its factorization.

3418468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3418468560 is about 58467.6710670093. The cubic root of 3418468560 is about 1506.4123355738.

The spelling of 3418468560 in words is "three billion, four hundred eighteen million, four hundred sixty-eight thousand, five hundred sixty".