1395315936 has 384 divisors, whose sum is σ = 5059998720. Its totient is φ = 364953600.

The previous prime is 1395315899. The next prime is 1395315949. The reversal of 1395315936 is 6395135931.

1395315936 is a `hidden beast` number, since 1 + 3 + 9 + 53 + 1 + 593 + 6 = 666.

It is a super-2 number, since 2×1395315936² = 3893813122511112192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1395315891 and 1395315900.

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, 4215291 + ... + 4215621.

It is an arithmetic number, because the mean of its divisors is an integer number (13177080).

Almost surely, 2^1395315936 is an apocalyptic number.

1395315936 is a gapful number since it is divisible by the number (16) 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 1395315936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529999360).

1395315936 is an abundant number, since it is smaller than the sum of its proper divisors (3664682784).

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

1395315936 is a wasteful number, since it uses less digits than its factorization.

1395315936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its digits is 328050, while the sum is 45.

The square root of 1395315936 is about 37353.9279862239. The cubic root of 1395315936 is about 1117.4399265036.

The spelling of 1395315936 in words is "one billion, three hundred ninety-five million, three hundred fifteen thousand, nine hundred thirty-six".