3120007830 has 64 divisors (see below), whose sum is σ = 7596288000. Its totient is φ = 820010880.

The previous prime is 3120007823. The next prime is 3120007831. The reversal of 3120007830 is 387000213.

It is a super-2 number, since 2×3120007830² = 19468897718522617800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3120007830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120007831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229471 + ... + 2230869.

It is an arithmetic number, because the mean of its divisors is an integer number (118692000).

Almost surely, 2^3120007830 is an apocalyptic number.

3120007830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3120007830 is an abundant number, since it is smaller than the sum of its proper divisors (4476280170).

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

3120007830 is a wasteful number, since it uses less digits than its factorization.

3120007830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3120007830 is about 55857.0302647751. The cubic root of 3120007830 is about 1461.2299371856.

The spelling of 3120007830 in words is "three billion, one hundred twenty million, seven thousand, eight hundred thirty".