350933660 has 96 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 108691200.

The previous prime is 350933623. The next prime is 350933663. The reversal of 350933660 is 66339053.

350933660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 350933660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350933663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278111 + ... + 279369.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^350933660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350933660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

350933660 is an abundant number, since it is smaller than the sum of its proper divisors (573684580).

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

350933660 is a wasteful number, since it uses less digits than its factorization.

350933660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 35.

The square root of 350933660 is about 18733.2234279101. The cubic root of 350933660 is about 705.3559626206.

The spelling of 350933660 in words is "three hundred fifty million, nine hundred thirty-three thousand, six hundred sixty".