349231680 has 336 divisors, whose sum is σ = 1454993280. Its totient is φ = 75055104.

The previous prime is 349231669. The next prime is 349231693. The reversal of 349231680 is 86132943.

349231680 is a `hidden beast` number, since 3 + 492 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×349231680³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342211 + ... + 343229.

Almost surely, 2^349231680 is an apocalyptic number.

349231680 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 349231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727496640).

349231680 is an abundant number, since it is smaller than the sum of its proper divisors (1105761600).

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

349231680 is a wasteful number, since it uses less digits than its factorization.

349231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 349231680 is about 18687.7414365674. The cubic root of 349231680 is about 704.2138210703.

The spelling of 349231680 in words is "three hundred forty-nine million, two hundred thirty-one thousand, six hundred eighty".