354444768 has 96 divisors (see below), whose sum is σ = 1038229920. Its totient is φ = 117642240.

The previous prime is 354444751. The next prime is 354444773. The reversal of 354444768 is 867444453.

354444768 is a `hidden beast` number, since 3 + 544 + 4 + 47 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238588 + ... + 240068.

It is an arithmetic number, because the mean of its divisors is an integer number (10814895).

Almost surely, 2^354444768 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 354444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519114960).

354444768 is an abundant number, since it is smaller than the sum of its proper divisors (683785152).

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

354444768 is a wasteful number, since it uses less digits than its factorization.

354444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1763 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 354444768 is about 18826.7035882546. The cubic root of 354444768 is about 707.7005340811.

The spelling of 354444768 in words is "three hundred fifty-four million, four hundred forty-four thousand, seven hundred sixty-eight".