347968320 has 224 divisors, whose sum is σ = 1287767808. Its totient is φ = 77955072.

The previous prime is 347968301. The next prime is 347968321. The reversal of 347968320 is 23869743.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347968321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355672 + ... + 356648.

Almost surely, 2^347968320 is an apocalyptic number.

347968320 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 347968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643883904).

347968320 is an abundant number, since it is smaller than the sum of its proper divisors (939799488).

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

347968320 is a wasteful number, since it uses less digits than its factorization.

347968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 347968320 is about 18653.9089737245. The cubic root of 347968320 is about 703.3636208565.

The spelling of 347968320 in words is "three hundred forty-seven million, nine hundred sixty-eight thousand, three hundred twenty".