361815936 has 128 divisors (see below), whose sum is σ = 1023753600. Its totient is φ = 112896000.

The previous prime is 361815901. The next prime is 361815953. The reversal of 361815936 is 639518163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 736651 + ... + 737141.

It is an arithmetic number, because the mean of its divisors is an integer number (7998075).

Almost surely, 2^361815936 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 361815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511876800).

361815936 is an abundant number, since it is smaller than the sum of its proper divisors (661937664).

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

361815936 is a wasteful number, since it uses less digits than its factorization.

361815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 361815936 is about 19021.4598808819. The cubic root of 361815936 is about 712.5727832081.

The spelling of 361815936 in words is "three hundred sixty-one million, eight hundred fifteen thousand, nine hundred thirty-six".