1356381936 has 600 divisors, whose sum is σ = 5172418944. Its totient is φ = 339655680.

The previous prime is 1356381931. The next prime is 1356381953. The reversal of 1356381936 is 6391836531.

1356381936 is a `hidden beast` number, since 1 + 3 + 5 + 638 + 1 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1356381891 and 1356381900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356381931) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25592086 + ... + 25592138.

Almost surely, 2^1356381936 is an apocalyptic number.

1356381936 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 1356381936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586209472).

1356381936 is an abundant number, since it is smaller than the sum of its proper divisors (3816037008).

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

1356381936 is a wasteful number, since it uses less digits than its factorization.

1356381936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1356381936 is about 36829.0908929341. The cubic root of 1356381936 is about 1106.9482867420.

The spelling of 1356381936 in words is "one billion, three hundred fifty-six million, three hundred eighty-one thousand, nine hundred thirty-six".