361348736 has 96 divisors (see below), whose sum is σ = 886925700. Its totient is φ = 145711104.

The previous prime is 361348727. The next prime is 361348739. The reversal of 361348736 is 637843163.

It can be written as a sum of positive squares in 2 ways, for example, as 291726400 + 69622336 = 17080^2 + 8344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 361348693 and 361348702.

It is not an unprimeable number, because it can be changed into a prime (361348739) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 104930 + ... + 108318.

Almost surely, 2^361348736 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 361348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443462850).

361348736 is an abundant number, since it is smaller than the sum of its proper divisors (525576964).

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

361348736 is a wasteful number, since it uses less digits than its factorization.

361348736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3415 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 361348736 is about 19009.1750478552. The cubic root of 361348736 is about 712.2659445024.

The spelling of 361348736 in words is "three hundred sixty-one million, three hundred forty-eight thousand, seven hundred thirty-six".