354042240 has 128 divisors (see below), whose sum is σ = 1140743520. Its totient is φ = 93388800.

The previous prime is 354042203. The next prime is 354042317. The reversal of 354042240 is 42240453.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 354042240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185290 + ... + 187190.

Almost surely, 2^354042240 is an apocalyptic number.

354042240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570371760).

354042240 is an abundant number, since it is smaller than the sum of its proper divisors (786701280).

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

354042240 is a wasteful number, since it uses less digits than its factorization.

354042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 354042240 is about 18816.0102040789. The cubic root of 354042240 is about 707.4325307019.

Adding to 354042240 its reverse (42240453), we get a palindrome (396282693).

The spelling of 354042240 in words is "three hundred fifty-four million, forty-two thousand, two hundred forty".