1385436000 has 384 divisors, whose sum is σ = 4992938496. Its totient is φ = 333772800.

The previous prime is 1385435971. The next prime is 1385436001. The reversal of 1385436000 is 6345831.

1385436000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385436001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12947947 + ... + 12948053.

It is an arithmetic number, because the mean of its divisors is an integer number (13002444).

Almost surely, 2^1385436000 is an apocalyptic number.

1385436000 is a gapful number since it is divisible by the number (10) 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 1385436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496469248).

1385436000 is an abundant number, since it is smaller than the sum of its proper divisors (3607502496).

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

1385436000 is a wasteful number, since it uses less digits than its factorization.

1385436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1385436000 is about 37221.4454313639. The cubic root of 1385436000 is about 1114.7962251698.

The spelling of 1385436000 in words is "one billion, three hundred eighty-five million, four hundred thirty-six thousand".