3057642000 has 320 divisors, whose sum is σ = 12519436800. Its totient is φ = 698803200.

The previous prime is 3057641989. The next prime is 3057642041. The reversal of 3057642000 is 2467503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373956 + ... + 382044.

It is an arithmetic number, because the mean of its divisors is an integer number (39123240).

Almost surely, 2^3057642000 is an apocalyptic number.

3057642000 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 3057642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259718400).

3057642000 is an abundant number, since it is smaller than the sum of its proper divisors (9461794800).

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

3057642000 is a wasteful number, since it uses less digits than its factorization.

3057642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3057642000 is about 55295.9492187267. The cubic root of 3057642000 is about 1451.4281608622.

The spelling of 3057642000 in words is "three billion, fifty-seven million, six hundred forty-two thousand".