350561520 has 140 divisors (see below), whose sum is σ = 1222227576. Its totient is φ = 93467520.

The previous prime is 350561479. The next prime is 350561527. The reversal of 350561520 is 25165053.

350561520 is a `hidden beast` number, since 3 + 50 + 561 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350561527) 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 27 ways as a sum of consecutive naturals, for example, 55315 + ... + 61325.

Almost surely, 2^350561520 is an apocalyptic number.

350561520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611113788).

350561520 is an abundant number, since it is smaller than the sum of its proper divisors (871666056).

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

350561520 is an equidigital number, since it uses as much as digits as its factorization.

350561520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 350561520 is about 18723.2881727543. The cubic root of 350561520 is about 705.1065479525.

It can be divided in two parts, 3505 and 61520, that added together give a square (65025 = 255²).

The spelling of 350561520 in words is "three hundred fifty million, five hundred sixty-one thousand, five hundred twenty".