3012535680 has 768 divisors, whose sum is σ = 12658705920. Its totient is φ = 602112000.

The previous prime is 3012535679. The next prime is 3012535681. The reversal of 3012535680 is 865352103.

It is an interprime number because it is at equal distance from previous prime (3012535679) and next prime (3012535681).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012535681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42430045 + ... + 42430115.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2^3012535680 is an apocalyptic number.

3012535680 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 3012535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329352960).

3012535680 is an abundant number, since it is smaller than the sum of its proper divisors (9646170240).

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

3012535680 is a wasteful number, since it uses less digits than its factorization.

3012535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3012535680 is about 54886.5710351813. The cubic root of 3012535680 is about 1444.2556208838.

Adding to 3012535680 its reverse (865352103), we get a palindrome (3877887783).

The spelling of 3012535680 in words is "three billion, twelve million, five hundred thirty-five thousand, six hundred eighty".