355438944 has 216 divisors, whose sum is σ = 1193217480. Its totient is φ = 100058112.

The previous prime is 355438939. The next prime is 355438949. The reversal of 355438944 is 449834553.

355438944 is a `hidden beast` number, since 3 + 554 + 3 + 8 + 94 + 4 = 666.

355438944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (355438939) and next prime (355438949).

Its product of digits (1036800) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 355438944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355438949) 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 35 ways as a sum of consecutive naturals, for example, 1255827 + ... + 1256109.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 2^355438944 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 355438944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596608740).

355438944 is an abundant number, since it is smaller than the sum of its proper divisors (837778536).

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

355438944 is a wasteful number, since it uses less digits than its factorization.

355438944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 355438944 is about 18853.0884472545. The cubic root of 355438944 is about 708.3615887352.

The spelling of 355438944 in words is "three hundred fifty-five million, four hundred thirty-eight thousand, nine hundred forty-four".