1385835696 has 160 divisors (see below), whose sum is σ = 4604467200. Its totient is φ = 390873600.

The previous prime is 1385835677. The next prime is 1385835713. The reversal of 1385835696 is 6965385831.

1385835696 is a `hidden beast` number, since 1 + 3 + 8 + 583 + 56 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 235996 + ... + 241796.

It is an arithmetic number, because the mean of its divisors is an integer number (28777920).

Almost surely, 2^1385835696 is an apocalyptic number.

1385835696 is a gapful number since it is divisible by the number (16) 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 1385835696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302233600).

1385835696 is an abundant number, since it is smaller than the sum of its proper divisors (3218631504).

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

1385835696 is a wasteful number, since it uses less digits than its factorization.

1385835696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5892 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 1385835696 is about 37226.8142069665. The cubic root of 1385835696 is about 1114.9034204857.

The spelling of 1385835696 in words is "one billion, three hundred eighty-five million, eight hundred thirty-five thousand, six hundred ninety-six".