359673930 has 384 divisors, whose sum is σ = 1280987136. Its totient is φ = 67737600.

The previous prime is 359673911. The next prime is 359673959. The reversal of 359673930 is 39376953.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5065795 + ... + 5065865.

It is an arithmetic number, because the mean of its divisors is an integer number (3335904).

Almost surely, 2^359673930 is an apocalyptic number.

359673930 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 359673930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640493568).

359673930 is an abundant number, since it is smaller than the sum of its proper divisors (921313206).

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

359673930 is a wasteful number, since it uses less digits than its factorization.

359673930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 359673930 is about 18965.0713154472. The cubic root of 359673930 is about 711.1638189465.

The spelling of 359673930 in words is "three hundred fifty-nine million, six hundred seventy-three thousand, nine hundred thirty".