3318382080 has 400 divisors, whose sum is σ = 12810055104. Its totient is φ = 816168960.

The previous prime is 3318382009. The next prime is 3318382087. The reversal of 3318382080 is 802838133.

It is a super-2 number, since 2×3318382080² = 22023319257730252800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3318382087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695065 + ... + 2696295.

Almost surely, 2^3318382080 is an apocalyptic number.

3318382080 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 3318382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405027552).

3318382080 is an abundant number, since it is smaller than the sum of its proper divisors (9491673024).

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

3318382080 is a wasteful number, since it uses less digits than its factorization.

3318382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3318382080 is about 57605.3997468987. The cubic root of 3318382080 is about 1491.5648140076.

The spelling of 3318382080 in words is "three billion, three hundred eighteen million, three hundred eighty-two thousand, eighty".