1385082720 has 384 divisors, whose sum is σ = 5594158080. Its totient is φ = 313528320.

The previous prime is 1385082707. The next prime is 1385082733. The reversal of 1385082720 is 272805831.

1385082720 is a `hidden beast` number, since 1 + 385 + 0 + 8 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1385082707) and next prime (1385082733).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4928980 + ... + 4929260.

It is an arithmetic number, because the mean of its divisors is an integer number (14568120).

Almost surely, 2^1385082720 is an apocalyptic number.

1385082720 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 1385082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797079040).

1385082720 is an abundant number, since it is smaller than the sum of its proper divisors (4209075360).

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

1385082720 is a wasteful number, since it uses less digits than its factorization.

1385082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1385082720 is about 37216.6994775195. The cubic root of 1385082720 is about 1114.7014610930.

The spelling of 1385082720 in words is "one billion, three hundred eighty-five million, eighty-two thousand, seven hundred twenty".