3318954240 has 432 divisors, whose sum is σ = 12750635520. Its totient is φ = 732856320.

The previous prime is 3318954203. The next prime is 3318954293. The reversal of 3318954240 is 424598133.

It is a super-2 number, since 2×3318954240² = 22030914494427955200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832676 + ... + 5833244.

It is an arithmetic number, because the mean of its divisors is an integer number (29515360).

Almost surely, 2^3318954240 is an apocalyptic number.

3318954240 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 3318954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375317760).

3318954240 is an abundant number, since it is smaller than the sum of its proper divisors (9431681280).

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

3318954240 is a wasteful number, since it uses less digits than its factorization.

3318954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3318954240 is about 57610.3657339545. The cubic root of 3318954240 is about 1491.6505349663.

The spelling of 3318954240 in words is "three billion, three hundred eighteen million, nine hundred fifty-four thousand, two hundred forty".