3058428672 has 288 divisors, whose sum is σ = 9865652160. Its totient is φ = 928972800.

The previous prime is 3058428671. The next prime is 3058428677. The reversal of 3058428672 is 2768248503.

3058428672 is a `hidden beast` number, since 3 + 0 + 584 + 2 + 8 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058428671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9075288 + ... + 9075624.

Almost surely, 2^3058428672 is an apocalyptic number.

3058428672 is a gapful number since it is divisible by the number (32) 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 3058428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932826080).

3058428672 is an abundant number, since it is smaller than the sum of its proper divisors (6807223488).

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

3058428672 is a wasteful number, since it uses less digits than its factorization.

3058428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3058428672 is about 55303.0620490403. The cubic root of 3058428672 is about 1451.5526249631.

The spelling of 3058428672 in words is "three billion, fifty-eight million, four hundred twenty-eight thousand, six hundred seventy-two".