353376 has 48 divisors (see below), whose sum is σ = 1033200. Its totient is φ = 117504.

The previous prime is 353359. The next prime is 353389. The reversal of 353376 is 673353.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (21525).

2³⁵³³⁷⁶ is an apocalyptic number.

353376 is a gapful number since it is divisible by the number (36) 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 353376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516600).

353376 is an abundant number, since it is smaller than the sum of its proper divisors (679824).

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

353376 is a wasteful number, since it uses less digits than its factorization.

353376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 353376 is about 594.4543716720. The cubic root of 353376 is about 70.6988501007.

It can be divided in two parts, 353 and 376, that added together give a 6-th power (729 = 3⁶).

The spelling of 353376 in words is "three hundred fifty-three thousand, three hundred seventy-six".