354816 has 120 divisors (see below), whose sum is σ = 1276704. Its totient is φ = 92160.

The previous prime is 354799. The next prime is 354829. The reversal of 354816 is 618453.

It is a zygodrome in base 4 and base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 354816.

It is a congruent number.

It is an unprimeable number.

354816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32251 + ... + 32261.

2³⁵⁴⁸¹⁶ is an apocalyptic number.

354816 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 354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352).

354816 is an abundant number, since it is smaller than the sum of its proper divisors (921888).

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

354816 is a wasteful number, since it uses less digits than its factorization.

354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 354816 is about 595.6643350076. The cubic root of 354816 is about 70.7947520768.

It can be divided in two parts, 35 and 4816, that added together give a triangular number (4851 = T₉₈).

The spelling of 354816 in words is "three hundred fifty-four thousand, eight hundred sixteen".