349894272 has 512 divisors, whose sum is σ = 1316044800. Its totient is φ = 79626240.

The previous prime is 349894243. The next prime is 349894277. The reversal of 349894272 is 272498943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (349894277) 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, 11286897 + ... + 11286927.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^349894272 is an apocalyptic number.

349894272 is a gapful number since it is divisible by the number (32) 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 349894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

349894272 is an abundant number, since it is smaller than the sum of its proper divisors (966150528).

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

349894272 is a wasteful number, since it uses less digits than its factorization.

349894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 349894272 is about 18705.4610207821. The cubic root of 349894272 is about 704.6589044599.

The spelling of 349894272 in words is "three hundred forty-nine million, eight hundred ninety-four thousand, two hundred seventy-two".