349664256 has 88 divisors (see below), whose sum is σ = 1035618240. Its totient is φ = 116545536.

The previous prime is 349664251. The next prime is 349664257. The reversal of 349664256 is 652466943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349664251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21325 + ... + 33971.

Almost surely, 2^349664256 is an apocalyptic number.

349664256 is a gapful number since it is divisible by the number (36) 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 349664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517809120).

349664256 is an abundant number, since it is smaller than the sum of its proper divisors (685953984).

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

349664256 is a wasteful number, since it uses less digits than its factorization.

349664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12652 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 349664256 is about 18699.3116450847. The cubic root of 349664256 is about 704.5044593741.

The spelling of 349664256 in words is "three hundred forty-nine million, six hundred sixty-four thousand, two hundred fifty-six".