350337960 has 384 divisors, whose sum is σ = 1425715200. Its totient is φ = 75582720.

The previous prime is 350337943. The next prime is 350337973. The reversal of 350337960 is 69733053.

It is a super-3 number, since 3×350337960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292625 + ... + 1292895.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^350337960 is an apocalyptic number.

350337960 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 350337960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712857600).

350337960 is an abundant number, since it is smaller than the sum of its proper divisors (1075377240).

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

350337960 is a wasteful number, since it uses less digits than its factorization.

350337960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 350337960 is about 18717.3171154415. The cubic root of 350337960 is about 704.9566292921.

The spelling of 350337960 in words is "three hundred fifty million, three hundred thirty-seven thousand, nine hundred sixty".