1385295120 has 180 divisors, whose sum is σ = 5113987788. Its totient is φ = 335808000.

The previous prime is 1385295097. The next prime is 1385295157. The reversal of 1385295120 is 215925831.

1385295120 is a `hidden beast` number, since 1 + 3 + 8 + 529 + 5 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1063020816 + 322274304 = 32604^2 + 17952^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 79170 + ... + 95070.

Almost surely, 2^1385295120 is an apocalyptic number.

1385295120 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 1385295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556993894).

1385295120 is an abundant number, since it is smaller than the sum of its proper divisors (3728692668).

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

1385295120 is a wasteful number, since it uses less digits than its factorization.

1385295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15922 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1385295120 is about 37219.5529258480. The cubic root of 1385295120 is about 1114.7584373504.

The spelling of 1385295120 in words is "one billion, three hundred eighty-five million, two hundred ninety-five thousand, one hundred twenty".