354011040 has 288 divisors, whose sum is σ = 1313444160. Its totient is φ = 89040384.

The previous prime is 354011029. The next prime is 354011069. The reversal of 354011040 is 40110453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1559407 + ... + 1559633.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^354011040 is an apocalyptic number.

354011040 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 354011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

354011040 is an abundant number, since it is smaller than the sum of its proper divisors (959433120).

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

354011040 is a wasteful number, since it uses less digits than its factorization.

354011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 354011040 is about 18815.1811046293. The cubic root of 354011040 is about 707.4117492425.

Adding to 354011040 its reverse (40110453), we get a palindrome (394121493).

The spelling of 354011040 in words is "three hundred fifty-four million, eleven thousand, forty".