3072028680 has 320 divisors, whose sum is σ = 12423312000. Its totient is φ = 665127936.

The previous prime is 3072028657. The next prime is 3072028691. The reversal of 3072028680 is 868202703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427356 + ... + 434484.

It is an arithmetic number, because the mean of its divisors is an integer number (38822850).

Almost surely, 2^3072028680 is an apocalyptic number.

3072028680 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 3072028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211656000).

3072028680 is an abundant number, since it is smaller than the sum of its proper divisors (9351283320).

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

3072028680 is a wasteful number, since it uses less digits than its factorization.

3072028680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3072028680 is about 55425.8845666896. The cubic root of 3072028680 is about 1453.7009981248.

The spelling of 3072028680 in words is "three billion, seventy-two million, twenty-eight thousand, six hundred eighty".