359648436 has 144 divisors (see below), whose sum is σ = 1022767872. Its totient is φ = 97977600.

The previous prime is 359648383. The next prime is 359648437. The reversal of 359648436 is 634846953.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359648437) 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 47 ways as a sum of consecutive naturals, for example, 1326981 + ... + 1327251.

Almost surely, 2^359648436 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 359648436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511383936).

359648436 is an abundant number, since it is smaller than the sum of its proper divisors (663119436).

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

359648436 is a wasteful number, since it uses less digits than its factorization.

359648436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

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

The square root of 359648436 is about 18964.3991731876. The cubic root of 359648436 is about 711.1470159135.

The spelling of 359648436 in words is "three hundred fifty-nine million, six hundred forty-eight thousand, four hundred thirty-six".