3418479360 has 432 divisors, whose sum is σ = 12402534144. Its totient is φ = 868589568.

The previous prime is 3418479353. The next prime is 3418479433. The reversal of 3418479360 is 639748143.

It is a super-2 number, since 2×3418479360² = 23372002269492019200, which contains 22 as substring.

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

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, 33189069 + ... + 33189171.

Almost surely, 2^3418479360 is an apocalyptic number.

3418479360 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 3418479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201267072).

3418479360 is an abundant number, since it is smaller than the sum of its proper divisors (8984054784).

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

3418479360 is a wasteful number, since it uses less digits than its factorization.

3418479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3418479360 is about 58467.7634256690. The cubic root of 3418479360 is about 1506.4139219798.

The spelling of 3418479360 in words is "three billion, four hundred eighteen million, four hundred seventy-nine thousand, three hundred sixty".