356364 has 36 divisors (see below), whose sum is σ = 950040. Its totient is φ = 112320.

The previous prime is 356351. The next prime is 356387. The reversal of 356364 is 463653.

356364 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 356364.

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 11 ways as a sum of consecutive naturals, for example, 424 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (26390).

2³⁵⁶³⁶⁴ 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 356364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475020).

356364 is an abundant number, since it is smaller than the sum of its proper divisors (593676).

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

356364 is a wasteful number, since it uses less digits than its factorization.

356364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 356364 is about 596.9623103681. The cubic root of 356364 is about 70.8975577441.

The spelling of 356364 in words is "three hundred fifty-six thousand, three hundred sixty-four".