3418030080 has 408 divisors, whose sum is σ = 12677187120. Its totient is φ = 849346560.

The previous prime is 3418030079. The next prime is 3418030087. The reversal of 3418030080 is 800308143.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3418030087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56033250 + ... + 56033310.

Almost surely, 2^3418030080 is an apocalyptic number.

3418030080 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 3418030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338593560).

3418030080 is an abundant number, since it is smaller than the sum of its proper divisors (9259157040).

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

3418030080 is an equidigital number, since it uses as much as digits as its factorization.

3418030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3418030080 is about 58463.9211822129. The cubic root of 3418030080 is about 1506.3479246724.

The spelling of 3418030080 in words is "three billion, four hundred eighteen million, thirty thousand, eighty".