1361943936 has 256 divisors, whose sum is σ = 4230144000. Its totient is φ = 430811136.

The previous prime is 1361943917. The next prime is 1361943953. The reversal of 1361943936 is 6393491631.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1361943891 and 1361943900.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10723905 + ... + 10724031.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^1361943936 is an apocalyptic number.

1361943936 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 1361943936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1361943936 is an abundant number, since it is smaller than the sum of its proper divisors (2868200064).

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

1361943936 is a wasteful number, since it uses less digits than its factorization.

1361943936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 1361943936 is about 36904.5246006503. The cubic root of 1361943936 is about 1108.4592795060.

The spelling of 1361943936 in words is "one billion, three hundred sixty-one million, nine hundred forty-three thousand, nine hundred thirty-six".