347841360 has 240 divisors, whose sum is σ = 1258133760. Its totient is φ = 85847040.

The previous prime is 347841353. The next prime is 347841383. The reversal of 347841360 is 63148743.

347841360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×347841360² = 241987223453299200, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642690 + ... + 643230.

It is an arithmetic number, because the mean of its divisors is an integer number (5242224).

Almost surely, 2^347841360 is an apocalyptic number.

347841360 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 347841360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629066880).

347841360 is an abundant number, since it is smaller than the sum of its proper divisors (910292400).

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

347841360 is a wasteful number, since it uses less digits than its factorization.

347841360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 347841360 is about 18650.5056231728. The cubic root of 347841360 is about 703.2780671792.

The spelling of 347841360 in words is "three hundred forty-seven million, eight hundred forty-one thousand, three hundred sixty".