350641440 has 192 divisors, whose sum is σ = 1280966400. Its totient is φ = 89413632.

The previous prime is 350641427. The next prime is 350641451. The reversal of 350641440 is 44146053.

It is a super-3 number, since 3×350641440³ (a number of 27 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 97596 + ... + 101124.

It is an arithmetic number, because the mean of its divisors is an integer number (6671700).

Almost surely, 2^350641440 is an apocalyptic number.

350641440 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 350641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640483200).

350641440 is an abundant number, since it is smaller than the sum of its proper divisors (930324960).

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

350641440 is a wasteful number, since it uses less digits than its factorization.

350641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 350641440 is about 18725.4222916334. The cubic root of 350641440 is about 705.1601265974.

Adding to 350641440 its reverse (44146053), we get a palindrome (394787493).

The spelling of 350641440 in words is "three hundred fifty million, six hundred forty-one thousand, four hundred forty".