353768142 has 80 divisors (see below), whose sum is σ = 889373520. Its totient is φ = 93252096.

The previous prime is 353768141. The next prime is 353768179. The reversal of 353768142 is 241867353.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 353768142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353768141) 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 39 ways as a sum of consecutive naturals, for example, 186334 + ... + 188222.

It is an arithmetic number, because the mean of its divisors is an integer number (11117169).

Almost surely, 2^353768142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353768142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444686760).

353768142 is an abundant number, since it is smaller than the sum of its proper divisors (535605378).

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

353768142 is a wasteful number, since it uses less digits than its factorization.

353768142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1914 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 353768142 is about 18808.7251561609. The cubic root of 353768142 is about 707.2499198137.

The spelling of 353768142 in words is "three hundred fifty-three million, seven hundred sixty-eight thousand, one hundred forty-two".