349655670 has 384 divisors, whose sum is σ = 1241049600. Its totient is φ = 69237504.

The previous prime is 349655641. The next prime is 349655671. The reversal of 349655670 is 76556943.

349655670 is a `hidden beast` number, since 3 + 4 + 96 + 556 + 7 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349655671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3267757 + ... + 3267863.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^349655670 is an apocalyptic number.

349655670 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 349655670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

349655670 is an abundant number, since it is smaller than the sum of its proper divisors (891393930).

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

349655670 is a wasteful number, since it uses less digits than its factorization.

349655670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

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

The square root of 349655670 is about 18699.0820630319. The cubic root of 349655670 is about 704.4986929618.

The spelling of 349655670 in words is "three hundred forty-nine million, six hundred fifty-five thousand, six hundred seventy".