3013950240 has 288 divisors, whose sum is σ = 12373845120. Its totient is φ = 652603392.

The previous prime is 3013950229. The next prime is 3013950253. The reversal of 3013950240 is 420593103.

3013950240 is a `hidden beast` number, since 30 + 1 + 395 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183652 + ... + 199388.

It is an arithmetic number, because the mean of its divisors is an integer number (42964740).

Almost surely, 2^3013950240 is an apocalyptic number.

3013950240 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 3013950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186922560).

3013950240 is an abundant number, since it is smaller than the sum of its proper divisors (9359894880).

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

3013950240 is a wasteful number, since it uses less digits than its factorization.

3013950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3013950240 is about 54899.4557350071. The cubic root of 3013950240 is about 1444.4816394016.

The spelling of 3013950240 in words is "three billion, thirteen million, nine hundred fifty thousand, two hundred forty".