7838600385 has 256 divisors, whose sum is σ = 17335296000. Its totient is φ = 2926264320.

The previous prime is 7838600383. The next prime is 7838600389. The reversal of 7838600385 is 5830068387.

It is a happy number.

It is not a de Polignac number, because 7838600385 - 2¹ = 7838600383 is a prime.

It is a super-2 number, since 2×7838600385² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838600383) 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 255 ways as a sum of consecutive naturals, for example, 69368089 + ... + 69368201.

It is an arithmetic number, because the mean of its divisors is an integer number (67716000).

Almost surely, 2^7838600385 is an apocalyptic number.

It is an amenable number.

7838600385 is an abundant number, since it is smaller than the sum of its proper divisors (9496695615).

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

7838600385 is a wasteful number, since it uses less digits than its factorization.

7838600385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 7838600385 is about 88535.8706118599. The cubic root of 7838600385 is about 1986.4585536238.

The spelling of 7838600385 in words is "seven billion, eight hundred thirty-eight million, six hundred thousand, three hundred eighty-five".