349676550 has 72 divisors (see below), whose sum is σ = 950128920. Its totient is φ = 92188800.

The previous prime is 349676549. The next prime is 349676557. The reversal of 349676550 is 55676943.

349676550 is a `hidden beast` number, since 3 + 4 + 96 + 7 + 6 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 349676496 and 349676505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349676557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35685 + ... + 44415.

It is an arithmetic number, because the mean of its divisors is an integer number (13196235).

Almost surely, 2^349676550 is an apocalyptic number.

349676550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349676550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475064460).

349676550 is an abundant number, since it is smaller than the sum of its proper divisors (600452370).

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

349676550 is a wasteful number, since it uses less digits than its factorization.

349676550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 349676550 is about 18699.6403708734. The cubic root of 349676550 is about 704.5127159385.

The spelling of 349676550 in words is "three hundred forty-nine million, six hundred seventy-six thousand, five hundred fifty".