3001193856 has 256 divisors, whose sum is σ = 9153561600. Its totient is φ = 979776000.

The previous prime is 3001193843. The next prime is 3001193857. The reversal of 3001193856 is 6583911003.

It is a happy number.

It is a super-2 number, since 2×3001193856² = 18014329122584297472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3001193856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001193857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19875381 + ... + 19875531.

It is an arithmetic number, because the mean of its divisors is an integer number (35756100).

Almost surely, 2^3001193856 is an apocalyptic number.

3001193856 is a gapful number since it is divisible by the number (36) 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 3001193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576780800).

3001193856 is an abundant number, since it is smaller than the sum of its proper divisors (6152367744).

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

3001193856 is an frugal number, since it uses more digits than its factorization.

3001193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3001193856 is about 54783.1530308360. The cubic root of 3001193856 is about 1442.4408603019.

The spelling of 3001193856 in words is "three billion, one million, one hundred ninety-three thousand, eight hundred fifty-six".