349071360 has 192 divisors, whose sum is σ = 1219458240. Its totient is φ = 84541440.

The previous prime is 349071329. The next prime is 349071367. The reversal of 349071360 is 63170943.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (349071367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337404 + ... + 338436.

It is an arithmetic number, because the mean of its divisors is an integer number (6351345).

Almost surely, 2^349071360 is an apocalyptic number.

349071360 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 349071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609729120).

349071360 is an abundant number, since it is smaller than the sum of its proper divisors (870386880).

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

349071360 is a wasteful number, since it uses less digits than its factorization.

349071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 349071360 is about 18683.4515012618. The cubic root of 349071360 is about 704.1060446316.

The spelling of 349071360 in words is "three hundred forty-nine million, seventy-one thousand, three hundred sixty".