354380544 has 324 divisors, whose sum is σ = 1232887656. Its totient is φ = 97542144.

The previous prime is 354380531. The next prime is 354380567. The reversal of 354380544 is 445083453.

354380544 is a `hidden beast` number, since 35 + 4 + 3 + 80 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 354380499 and 354380508.

It is an unprimeable number.

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, 4854492 + ... + 4854564.

Almost surely, 2^354380544 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 354380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616443828).

354380544 is an abundant number, since it is smaller than the sum of its proper divisors (878507112).

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

354380544 is a wasteful number, since it uses less digits than its factorization.

354380544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 354380544 is about 18824.9978486055. The cubic root of 354380544 is about 707.6577873133.

The spelling of 354380544 in words is "three hundred fifty-four million, three hundred eighty thousand, five hundred forty-four".