361309536 has 108 divisors (see below), whose sum is σ = 1195271532. Its totient is φ = 103227264.

The previous prime is 361309513. The next prime is 361309547. The reversal of 361309536 is 635903163.

361309536 is a `hidden beast` number, since 3 + 613 + 0 + 9 + 5 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 361309536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1311 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (11067329).

Almost surely, 2^361309536 is an apocalyptic number.

361309536 is a gapful number since it is divisible by the number (36) 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 361309536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597635766).

361309536 is an abundant number, since it is smaller than the sum of its proper divisors (833961996).

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

361309536 is a wasteful number, since it uses less digits than its factorization.

361309536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633 (or 25615 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 361309536 is about 19008.1439388489. The cubic root of 361309536 is about 712.2401874502.

The spelling of 361309536 in words is "three hundred sixty-one million, three hundred nine thousand, five hundred thirty-six".