3384584640 has 168 divisors, whose sum is σ = 11672437920. Its totient is φ = 900163584.

The previous prime is 3384584579. The next prime is 3384584641. The reversal of 3384584640 is 464854833.

3384584640 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 584 + 64 + 0 = 666.

It is a super-2 number, since 2×3384584640² = 22910826370647859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384584641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262982 + ... + 1265658.

Almost surely, 2^3384584640 is an apocalyptic number.

3384584640 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 3384584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836218960).

3384584640 is an abundant number, since it is smaller than the sum of its proper divisors (8287853280).

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

3384584640 is a wasteful number, since it uses less digits than its factorization.

3384584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3384584640 is about 58177.1831562856. The cubic root of 3384584640 is about 1501.4186046177.

The spelling of 3384584640 in words is "three billion, three hundred eighty-four million, five hundred eighty-four thousand, six hundred forty".