350760960 has 312 divisors, whose sum is σ = 1334019024. Its totient is φ = 84541440.

The previous prime is 350760947. The next prime is 350760967. The reversal of 350760960 is 69067053.

It is a happy number.

350760960 is a `hidden beast` number, since 3 + 507 + 60 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (350760967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027434 + ... + 2027606.

It is an arithmetic number, because the mean of its divisors is an integer number (4275702).

Almost surely, 2^350760960 is an apocalyptic number.

350760960 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 350760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667009512).

350760960 is an abundant number, since it is smaller than the sum of its proper divisors (983258064).

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

350760960 is a wasteful number, since it uses less digits than its factorization.

350760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 350760960 is about 18728.6134030259. The cubic root of 350760960 is about 705.2402380299.

The spelling of 350760960 in words is "three hundred fifty million, seven hundred sixty thousand, nine hundred sixty".