349666040 has 64 divisors (see below), whose sum is σ = 814302720. Its totient is φ = 135040000.

The previous prime is 349665997. The next prime is 349666061. The reversal of 349666040 is 40666943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 349665985 and 349666003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164585 + ... + 166695.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^349666040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

349666040 is an abundant number, since it is smaller than the sum of its proper divisors (464636680).

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

349666040 is a wasteful number, since it uses less digits than its factorization.

349666040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 349666040 is about 18699.3593473145. The cubic root of 349666040 is about 704.5056575080.

The spelling of 349666040 in words is "three hundred forty-nine million, six hundred sixty-six thousand, forty".