3318129360 has 800 divisors, whose sum is σ = 15063535872. Its totient is φ = 656916480.

The previous prime is 3318129349. The next prime is 3318129403. The reversal of 3318129360 is 639218133.

It is a super-2 number, since 2×3318129360² = 22019964899388019200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 10024395 + ... + 10024725.

Almost surely, 2^3318129360 is an apocalyptic number.

3318129360 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 3318129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531767936).

3318129360 is an abundant number, since it is smaller than the sum of its proper divisors (11745406512).

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

3318129360 is a wasteful number, since it uses less digits than its factorization.

3318129360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3318129360 is about 57603.2061607685. The cubic root of 3318129360 is about 1491.5269483831.

The spelling of 3318129360 in words is "three billion, three hundred eighteen million, one hundred twenty-nine thousand, three hundred sixty".