349848576 has 528 divisors, whose sum is σ = 1379514240. Its totient is φ = 82575360.

The previous prime is 349848571. The next prime is 349848599. The reversal of 349848576 is 675848943.

349848576 is a `hidden beast` number, since 3 + 4 + 98 + 485 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×349848576² = 244788052258455552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5806080) is a multiple of the sum of its prime factors (90).

It is not an unprimeable number, because it can be changed into a prime (349848571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12063730 + ... + 12063758.

Almost surely, 2^349848576 is an apocalyptic number.

349848576 is a gapful number since it is divisible by the number (36) 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 349848576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689757120).

349848576 is an abundant number, since it is smaller than the sum of its proper divisors (1029665664).

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

349848576 is a wasteful number, since it uses less digits than its factorization.

349848576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 349848576 is about 18704.2395194245. The cubic root of 349848576 is about 704.6282271022.

The spelling of 349848576 in words is "three hundred forty-nine million, eight hundred forty-eight thousand, five hundred seventy-six".