2838000375 has 144 divisors (see below), whose sum is σ = 6150774240. Its totient is φ = 1287468000.

The previous prime is 2838000367. The next prime is 2838000377. The reversal of 2838000375 is 5730008382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2838000375 is a `hidden beast` number, since 283 + 8 + 0 + 0 + 0 + 375 = 666.

It is not a de Polignac number, because 2838000375 - 2³ = 2838000367 is a prime.

It is a super-2 number, since 2×2838000375² = 16108492257000281250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838000377) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 21664060 + ... + 21664190.

It is an arithmetic number, because the mean of its divisors is an integer number (42713710).

Almost surely, 2^2838000375 is an apocalyptic number.

2838000375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2838000375 is an abundant number, since it is smaller than the sum of its proper divisors (3312773865).

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

2838000375 is an equidigital number, since it uses as much as digits as its factorization.

2838000375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2838000375 is about 53272.8859270830. The cubic root of 2838000375 is about 1415.8073073399.

The spelling of 2838000375 in words is "two billion, eight hundred thirty-eight million, three hundred seventy-five", and thus it is an aban number.