3058286400 has 756 divisors, whose sum is σ = 12807328716. Its totient is φ = 685670400.

The previous prime is 3058286339. The next prime is 3058286411. The reversal of 3058286400 is 46828503.

3058286400 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 2 + 8 + 640 + 0 = 666.

3058286400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 108493056 + 2949793344 = 10416^2 + 54312^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 98654385 + ... + 98654415.

It is an arithmetic number, because the mean of its divisors is an integer number (16940911).

Almost surely, 2^3058286400 is an apocalyptic number.

3058286400 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 3058286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403664358).

3058286400 is an abundant number, since it is smaller than the sum of its proper divisors (9749042316).

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

3058286400 is a wasteful number, since it uses less digits than its factorization.

3058286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3058286400 is about 55301.7757400248. The cubic root of 3058286400 is about 1451.5301168367.

The spelling of 3058286400 in words is "three billion, fifty-eight million, two hundred eighty-six thousand, four hundred".