353878368 has 96 divisors (see below), whose sum is σ = 974405376. Its totient is φ = 112240128.

The previous prime is 353878351. The next prime is 353878373. The reversal of 353878368 is 863878353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 353878368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646671 + ... + 647217.

It is an arithmetic number, because the mean of its divisors is an integer number (10150056).

Almost surely, 2^353878368 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 353878368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487202688).

353878368 is an abundant number, since it is smaller than the sum of its proper divisors (620527008).

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

353878368 is a wasteful number, since it uses less digits than its factorization.

353878368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 353878368 is about 18811.6551105957. The cubic root of 353878368 is about 707.3233664447.

The spelling of 353878368 in words is "three hundred fifty-three million, eight hundred seventy-eight thousand, three hundred sixty-eight".