359643648 has 320 divisors, whose sum is σ = 1231921152. Its totient is φ = 90685440.

The previous prime is 359643643. The next prime is 359643649. The reversal of 359643648 is 846346953.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 359643597 and 359643606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359643643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333015 + ... + 4333097.

Almost surely, 2^359643648 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 359643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615960576).

359643648 is an abundant number, since it is smaller than the sum of its proper divisors (872277504).

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

359643648 is a wasteful number, since it uses less digits than its factorization.

359643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 359643648 is about 18964.2729362346. The cubic root of 359643648 is about 711.1438600659.

The spelling of 359643648 in words is "three hundred fifty-nine million, six hundred forty-three thousand, six hundred forty-eight".