361785840 has 320 divisors, whose sum is σ = 1349913600. Its totient is φ = 79183872.

The previous prime is 361785829. The next prime is 361785899. The reversal of 361785840 is 48587163.

It is a junction number, because it is equal to n+sod(n) for n = 361785792 and 361785801.

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 63 ways as a sum of consecutive naturals, for example, 1007581 + ... + 1007939.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^361785840 is an apocalyptic number.

361785840 is a gapful number since it is divisible by the number (30) 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 361785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

361785840 is an abundant number, since it is smaller than the sum of its proper divisors (988127760).

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

361785840 is a wasteful number, since it uses less digits than its factorization.

361785840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 361785840 is about 19020.6687579591. The cubic root of 361785840 is about 712.5530252934.

The spelling of 361785840 in words is "three hundred sixty-one million, seven hundred eighty-five thousand, eight hundred forty".