1361724336 has 240 divisors, whose sum is σ = 4512568320. Its totient is φ = 375298560.

The previous prime is 1361724277. The next prime is 1361724337. The reversal of 1361724336 is 6334271631.

1361724336 is a `hidden beast` number, since 1 + 3 + 617 + 2 + 4 + 3 + 36 = 666.

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

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

Its product of digits (54432) is a multiple of the sum of its prime factors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1361724336.

It is not an unprimeable number, because it can be changed into a prime (1361724337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3792925 + ... + 3793283.

It is an arithmetic number, because the mean of its divisors is an integer number (18802368).

Almost surely, 2^1361724336 is an apocalyptic number.

1361724336 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 1361724336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256284160).

1361724336 is an abundant number, since it is smaller than the sum of its proper divisors (3150843984).

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

1361724336 is a wasteful number, since it uses less digits than its factorization.

1361724336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1361724336 is about 36901.5492357706. The cubic root of 1361724336 is about 1108.3997002689.

Adding to 1361724336 its reverse (6334271631), we get a palindrome (7695995967).

The spelling of 1361724336 in words is "one billion, three hundred sixty-one million, seven hundred twenty-four thousand, three hundred thirty-six".