361283936 has 96 divisors (see below), whose sum is σ = 825834240. Its totient is φ = 154151424.

The previous prime is 361283929. The next prime is 361283953. The reversal of 361283936 is 639382163.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 361283893 and 361283902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339341 + ... + 340403.

It is an arithmetic number, because the mean of its divisors is an integer number (8602440).

Almost surely, 2^361283936 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 361283936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412917120).

361283936 is an abundant number, since it is smaller than the sum of its proper divisors (464550304).

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

361283936 is a wasteful number, since it uses less digits than its factorization.

361283936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 361283936 is about 19007.4705313464. The cubic root of 361283936 is about 712.2233655126.

The spelling of 361283936 in words is "three hundred sixty-one million, two hundred eighty-three thousand, nine hundred thirty-six".