361846128 has 80 divisors (see below), whose sum is σ = 1070931456. Its totient is φ = 103130880.

The previous prime is 361846103. The next prime is 361846151. The reversal of 361846128 is 821648163.

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

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, 167938 + ... + 170078.

Almost surely, 2^361846128 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 361846128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

361846128 is an abundant number, since it is smaller than the sum of its proper divisors (709085328).

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

361846128 is a wasteful number, since it uses less digits than its factorization.

361846128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 361846128 is about 19022.2534942630. The cubic root of 361846128 is about 712.5926030455.

The spelling of 361846128 in words is "three hundred sixty-one million, eight hundred forty-six thousand, one hundred twenty-eight".