349695360 has 512 divisors, whose sum is σ = 1468800000. Its totient is φ = 78575616.

The previous prime is 349695347. The next prime is 349695383. The reversal of 349695360 is 63596943.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927011 + ... + 5927069.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 2^349695360 is an apocalyptic number.

349695360 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 349695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400000).

349695360 is an abundant number, since it is smaller than the sum of its proper divisors (1119104640).

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

349695360 is an equidigital number, since it uses as much as digits as its factorization.

349695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 349695360 is about 18700.1433149588. The cubic root of 349695360 is about 704.5253482283.

The spelling of 349695360 in words is "three hundred forty-nine million, six hundred ninety-five thousand, three hundred sixty".