347397120 has 352 divisors, whose sum is σ = 1414886400. Its totient is φ = 79183872.

The previous prime is 347397109. The next prime is 347397151. The reversal of 347397120 is 21793743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967501 + ... + 967859.

Almost surely, 2^347397120 is an apocalyptic number.

347397120 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 347397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707443200).

347397120 is an abundant number, since it is smaller than the sum of its proper divisors (1067489280).

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

347397120 is a wasteful number, since it uses less digits than its factorization.

347397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 347397120 is about 18638.5922215172. The cubic root of 347397120 is about 702.9785462084.

The spelling of 347397120 in words is "three hundred forty-seven million, three hundred ninety-seven thousand, one hundred twenty".