1395386784 has 192 divisors, whose sum is σ = 4549426560. Its totient is φ = 412416000.

The previous prime is 1395386779. The next prime is 1395386789. The reversal of 1395386784 is 4876835931.

1395386784 is a `hidden beast` number, since 1 + 39 + 538 + 6 + 78 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1395386779) and next prime (1395386789).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1395386784.

It is not an unprimeable number, because it can be changed into a prime (1395386789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387874 + ... + 391454.

It is an arithmetic number, because the mean of its divisors is an integer number (23694930).

Almost surely, 2^1395386784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395386784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274713280).

1395386784 is an abundant number, since it is smaller than the sum of its proper divisors (3154039776).

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

1395386784 is a wasteful number, since it uses less digits than its factorization.

1395386784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3638 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 1395386784 is about 37354.8763081877. The cubic root of 1395386784 is about 1117.4588390767.

The spelling of 1395386784 in words is "one billion, three hundred ninety-five million, three hundred eighty-six thousand, seven hundred eighty-four".