349370280 has 256 divisors, whose sum is σ = 1368000000. Its totient is φ = 77635584.

The previous prime is 349370261. The next prime is 349370297. The reversal of 349370280 is 82073943.

349370280 is a `hidden beast` number, since 3 + 4 + 9 + 370 + 280 = 666.

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 63 ways as a sum of consecutive naturals, for example, 279096 + ... + 280344.

It is an arithmetic number, because the mean of its divisors is an integer number (5343750).

Almost surely, 2^349370280 is an apocalyptic number.

349370280 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 349370280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684000000).

349370280 is an abundant number, since it is smaller than the sum of its proper divisors (1018629720).

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

349370280 is a wasteful number, since it uses less digits than its factorization.

349370280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 349370280 is about 18691.4493820035. The cubic root of 349370280 is about 704.3069694796.

The spelling of 349370280 in words is "three hundred forty-nine million, three hundred seventy thousand, two hundred eighty".