353820768 has 72 divisors (see below), whose sum is σ = 1080431352. Its totient is φ = 101090304.

The previous prime is 353820767. The next prime is 353820773. The reversal of 353820768 is 867028353.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353820767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32905 + ... + 42312.

It is an arithmetic number, because the mean of its divisors is an integer number (15005991).

Almost surely, 2^353820768 is an apocalyptic number.

It is an amenable number.

353820768 is an abundant number, since it is smaller than the sum of its proper divisors (726610584).

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

353820768 is a wasteful number, since it uses less digits than its factorization.

353820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75244 (or 75229 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 353820768 is about 18810.1240825253. The cubic root of 353820768 is about 707.2849878752.

It can be divided in two parts, 353 and 820768, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 353820768 in words is "three hundred fifty-three million, eight hundred twenty thousand, seven hundred sixty-eight".