349954560 has 320 divisors, whose sum is σ = 1278668160. Its totient is φ = 90685440.

The previous prime is 349954541. The next prime is 349954603. The reversal of 349954560 is 65459943.

349954560 is a `hidden beast` number, since 3 + 49 + 9 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4216279 + ... + 4216361.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838).

Almost surely, 2^349954560 is an apocalyptic number.

349954560 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 349954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

349954560 is an abundant number, since it is smaller than the sum of its proper divisors (928713600).

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

349954560 is an equidigital number, since it uses as much as digits as its factorization.

349954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 349954560 is about 18707.0724593668. The cubic root of 349954560 is about 704.6993738623.

The spelling of 349954560 in words is "three hundred forty-nine million, nine hundred fifty-four thousand, five hundred sixty".