350613648 has 240 divisors, whose sum is σ = 1239254016. Its totient is φ = 89890560.

The previous prime is 350613647. The next prime is 350613649. The reversal of 350613648 is 846316053.

350613648 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 1 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (350613647) and next prime (350613649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (350613647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1141911 + ... + 1142217.

Almost surely, 2^350613648 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 350613648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619627008).

350613648 is an abundant number, since it is smaller than the sum of its proper divisors (888640368).

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

350613648 is a wasteful number, since it uses less digits than its factorization.

350613648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 350613648 is about 18724.6801841847. The cubic root of 350613648 is about 705.1414956677.

The spelling of 350613648 in words is "three hundred fifty million, six hundred thirteen thousand, six hundred forty-eight".