349937280 has 512 divisors, whose sum is σ = 1551052800. Its totient is φ = 72437760.

The previous prime is 349937243. The next prime is 349937281. The reversal of 349937280 is 82739943.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (349937281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330429 + ... + 1330691.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^349937280 is an apocalyptic number.

349937280 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 349937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775526400).

349937280 is an abundant number, since it is smaller than the sum of its proper divisors (1201115520).

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

349937280 is a wasteful number, since it uses less digits than its factorization.

349937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 349937280 is about 18706.6105962571. The cubic root of 349937280 is about 704.6877748273.

The spelling of 349937280 in words is "three hundred forty-nine million, nine hundred thirty-seven thousand, two hundred eighty".