1385834832 has 280 divisors, whose sum is σ = 4427830440. Its totient is φ = 418037760.

The previous prime is 1385834719. The next prime is 1385834833. The reversal of 1385834832 is 2384385831.

1385834832 is a `hidden beast` number, since 1 + 38 + 583 + 4 + 8 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 554319936 + 831514896 = 23544^2 + 28836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385834833) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5750232 + ... + 5750472.

Almost surely, 2^1385834832 is an apocalyptic number.

1385834832 is a gapful number since it is divisible by the number (12) 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 1385834832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213915220).

1385834832 is an abundant number, since it is smaller than the sum of its proper divisors (3041995608).

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

1385834832 is a wasteful number, since it uses less digits than its factorization.

1385834832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1385834832 is about 37226.8026024261. The cubic root of 1385834832 is about 1114.9031887900.

The spelling of 1385834832 in words is "one billion, three hundred eighty-five million, eight hundred thirty-four thousand, eight hundred thirty-two".