349634880 has 560 divisors, whose sum is σ = 1487033856. Its totient is φ = 76308480.

The previous prime is 349634863. The next prime is 349634893. The reversal of 349634880 is 88436943.

349634880 is a `hidden beast` number, since 3 + 4 + 9 + 634 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×349634880² = 244489098625228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7439017 + ... + 7439063.

Almost surely, 2^349634880 is an apocalyptic number.

349634880 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 349634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743516928).

349634880 is an abundant number, since it is smaller than the sum of its proper divisors (1137398976).

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

349634880 is a wasteful number, since it uses less digits than its factorization.

349634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 349634880 is about 18698.5261451271. The cubic root of 349634880 is about 704.4847298743.

The spelling of 349634880 in words is "three hundred forty-nine million, six hundred thirty-four thousand, eight hundred eighty".