350945280 has 408 divisors, whose sum is σ = 1472189472. Its totient is φ = 75497472.

The previous prime is 350945279. The next prime is 350945351. The reversal of 350945280 is 82549053.

It is a tau number, because it is divible by the number of its divisors (408).

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 23 ways as a sum of consecutive naturals, for example, 20643832 + ... + 20643848.

Almost surely, 2^350945280 is an apocalyptic number.

350945280 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 350945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736094736).

350945280 is an abundant number, since it is smaller than the sum of its proper divisors (1121244192).

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

350945280 is an equidigital number, since it uses as much as digits as its factorization.

350945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 350945280 is about 18733.5335695111. The cubic root of 350945280 is about 705.3637477063.

The spelling of 350945280 in words is "three hundred fifty million, nine hundred forty-five thousand, two hundred eighty".