354541824 has 432 divisors, whose sum is σ = 1339228800. Its totient is φ = 87588864.

The previous prime is 354541819. The next prime is 354541853. The reversal of 354541824 is 428145453.

It is a happy number.

354541824 is a `hidden beast` number, since 35 + 4 + 541 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (76800) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983572 + ... + 3983660.

Almost surely, 2^354541824 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 354541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

354541824 is an abundant number, since it is smaller than the sum of its proper divisors (984686976).

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

354541824 is a wasteful number, since it uses less digits than its factorization.

354541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 354541824 is about 18829.2810271662. The cubic root of 354541824 is about 707.7651236597.

It can be divided in two parts, 3545 and 41824, that added together give a square (45369 = 213²).

The spelling of 354541824 in words is "three hundred fifty-four million, five hundred forty-one thousand, eight hundred twenty-four".