349959960 has 384 divisors, whose sum is σ = 1440504000. Its totient is φ = 75091968.

The previous prime is 349959937. The next prime is 349959991. The reversal of 349959960 is 69959943.

349959960 is a `hidden beast` number, since 3 + 49 + 9 + 599 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 349959897 and 349959906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899446 + ... + 899834.

Almost surely, 2^349959960 is an apocalyptic number.

349959960 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 349959960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720252000).

349959960 is an abundant number, since it is smaller than the sum of its proper divisors (1090544040).

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

349959960 is a wasteful number, since it uses less digits than its factorization.

349959960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 349959960 is about 18707.2167892501. The cubic root of 349959960 is about 704.7029984825.

The spelling of 349959960 in words is "three hundred forty-nine million, nine hundred fifty-nine thousand, nine hundred sixty".