349494264 has 168 divisors, whose sum is σ = 1143846360. Its totient is φ = 99773856.

The previous prime is 349494253. The next prime is 349494287. The reversal of 349494264 is 462494943.

349494264 = T₅₇ + T₅₈ + ... + T₁₂₇₉.

349494264 is a `hidden beast` number, since 349 + 49 + 4 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285157 + ... + 286379.

Almost surely, 2^349494264 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 349494264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571923180).

349494264 is an abundant number, since it is smaller than the sum of its proper divisors (794352096).

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

349494264 is a wasteful number, since it uses less digits than its factorization.

349494264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1235 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 349494264 is about 18694.7656845439. The cubic root of 349494264 is about 704.3902740924.

The spelling of 349494264 in words is "three hundred forty-nine million, four hundred ninety-four thousand, two hundred sixty-four".