354081024 has 144 divisors (see below), whose sum is σ = 1142514240. Its totient is φ = 107274240.

The previous prime is 354081019. The next prime is 354081037. The reversal of 354081024 is 420180453.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73704 + ... + 78360.

Almost surely, 2^354081024 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 354081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571257120).

354081024 is an abundant number, since it is smaller than the sum of its proper divisors (788433216).

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

354081024 is a wasteful number, since it uses less digits than its factorization.

354081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 354081024 is about 18817.0407875415. The cubic root of 354081024 is about 707.4583619525.

The spelling of 354081024 in words is "three hundred fifty-four million, eighty-one thousand, twenty-four".