347967720 has 96 divisors (see below), whose sum is σ = 1135597320. Its totient is φ = 92405760.

The previous prime is 347967709. The next prime is 347967731. The reversal of 347967720 is 27769743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (347967709) and next prime (347967731).

It can be written as a sum of positive squares in 4 ways, for example, as 339075396 + 8892324 = 18414^2 + 2982^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90640 + ... + 94400.

Almost surely, 2^347967720 is an apocalyptic number.

347967720 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 347967720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567798660).

347967720 is an abundant number, since it is smaller than the sum of its proper divisors (787629600).

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

347967720 is a wasteful number, since it uses less digits than its factorization.

347967720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 347967720 is about 18653.8928912975. The cubic root of 347967720 is about 703.3632165875.

The spelling of 347967720 in words is "three hundred forty-seven million, nine hundred sixty-seven thousand, seven hundred twenty".