349504320 has 224 divisors, whose sum is σ = 1264066560. Its totient is φ = 80988160.

The previous prime is 349504291. The next prime is 349504327. The reversal of 349504320 is 23405943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349504327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242161 + ... + 243599.

Almost surely, 2^349504320 is an apocalyptic number.

349504320 is a gapful number since it is divisible by the number (30) 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 349504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632033280).

349504320 is an abundant number, since it is smaller than the sum of its proper divisors (914562240).

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

349504320 is a wasteful number, since it uses less digits than its factorization.

349504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 349504320 is about 18695.0346348970. The cubic root of 349504320 is about 704.3970298357.

The spelling of 349504320 in words is "three hundred forty-nine million, five hundred four thousand, three hundred twenty".