1385170800 has 120 divisors (see below), whose sum is σ = 4778537904. Its totient is φ = 340961280.

The previous prime is 1385170783. The next prime is 1385170823. The reversal of 1385170800 is 80715831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28797 + ... + 59996.

Almost surely, 2^1385170800 is an apocalyptic number.

1385170800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1385170800 is an abundant number, since it is smaller than the sum of its proper divisors (3393367104).

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

1385170800 is a wasteful number, since it uses less digits than its factorization.

1385170800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88827 (or 88816 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1385170800 is about 37217.8827984613. The cubic root of 1385170800 is about 1114.7250892422.

The spelling of 1385170800 in words is "one billion, three hundred eighty-five million, one hundred seventy thousand, eight hundred".