3318001920 has 576 divisors, whose sum is σ = 12872294400. Its totient is φ = 806215680.

The previous prime is 3318001909. The next prime is 3318001997. The reversal of 3318001920 is 291008133.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3318001920² = 22018273482247372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20355759 + ... + 20355921.

Almost surely, 2^3318001920 is an apocalyptic number.

3318001920 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 3318001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436147200).

3318001920 is an abundant number, since it is smaller than the sum of its proper divisors (9554292480).

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

3318001920 is a wasteful number, since it uses less digits than its factorization.

3318001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3318001920 is about 57602.0999617201. The cubic root of 3318001920 is about 1491.5078530227.

The spelling of 3318001920 in words is "three billion, three hundred eighteen million, one thousand, nine hundred twenty".