3083984640 has 216 divisors, whose sum is σ = 11640768048. Its totient is φ = 747601920.

The previous prime is 3083984627. The next prime is 3083984641. The reversal of 3083984640 is 464893803.

It is a super-2 number, since 2×3083984640² = 19021922519511859200, 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 (3083984641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114552 + ... + 138888.

Almost surely, 2^3083984640 is an apocalyptic number.

3083984640 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 3083984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820384024).

3083984640 is an abundant number, since it is smaller than the sum of its proper divisors (8556783408).

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

3083984640 is a wasteful number, since it uses less digits than its factorization.

3083984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24375 (or 24358 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3083984640 is about 55533.6352132651. The cubic root of 3083984640 is about 1455.5844323812.

The spelling of 3083984640 in words is "three billion, eighty-three million, nine hundred eighty-four thousand, six hundred forty".