1385689536 has 336 divisors, whose sum is σ = 5008473600. Its totient is φ = 355829760.

The previous prime is 1385689531. The next prime is 1385689537. The reversal of 1385689536 is 6359865831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1385689536³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385689531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6963165 + ... + 6963363.

Almost surely, 2^1385689536 is an apocalyptic number.

1385689536 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 1385689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504236800).

1385689536 is an abundant number, since it is smaller than the sum of its proper divisors (3622784064).

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

1385689536 is a wasteful number, since it uses less digits than its factorization.

1385689536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

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

The square root of 1385689536 is about 37224.8510541009. The cubic root of 1385689536 is about 1114.8642239168.

The spelling of 1385689536 in words is "one billion, three hundred eighty-five million, six hundred eighty-nine thousand, five hundred thirty-six".