350340480 has 192 divisors, whose sum is σ = 1382752800. Its totient is φ = 80068608.

The previous prime is 350340461. The next prime is 350340481. The reversal of 350340480 is 84043053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350340481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35976 + ... + 44664.

Almost surely, 2^350340480 is an apocalyptic number.

350340480 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 350340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691376400).

350340480 is an abundant number, since it is smaller than the sum of its proper divisors (1032412320).

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

350340480 is a wasteful number, since it uses less digits than its factorization.

350340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8706 counting only the distinct ones).

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

The square root of 350340480 is about 18717.3844326605. The cubic root of 350340480 is about 704.9583195518.

The spelling of 350340480 in words is "three hundred fifty million, three hundred forty thousand, four hundred eighty".