361086330 has 64 divisors (see below), whose sum is σ = 970973568. Its totient is φ = 85167360.

The previous prime is 361086329. The next prime is 361086331. The reversal of 361086330 is 33680163.

361086330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (361086329) and next prime (361086331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (361086331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2577 + ... + 26996.

It is an arithmetic number, because the mean of its divisors is an integer number (15171462).

Almost surely, 2^361086330 is an apocalyptic number.

361086330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361086330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485486784).

361086330 is an abundant number, since it is smaller than the sum of its proper divisors (609887238).

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

361086330 is a wasteful number, since it uses less digits than its factorization.

361086330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29631.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 361086330 is about 19002.2717062987. The cubic root of 361086330 is about 712.0934904904.

The spelling of 361086330 in words is "three hundred sixty-one million, eighty-six thousand, three hundred thirty".