347972555280 has 480 divisors, whose sum is σ = 1351210481280. Its totient is φ = 73586688000.

The previous prime is 347972555243. The next prime is 347972555317. The reversal of 347972555280 is 82555279743.

It is an interprime number because it is at equal distance from previous prime (347972555243) and next prime (347972555317).

It is a self number, because there is not a number n which added to its sum of digits gives 347972555280.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11780530 + ... + 11810030.

It is an arithmetic number, because the mean of its divisors is an integer number (2815021836).

Almost surely, 2^347972555280 is an apocalyptic number.

347972555280 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 347972555280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675605240640).

347972555280 is an abundant number, since it is smaller than the sum of its proper divisors (1003237926000).

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

347972555280 is a wasteful number, since it uses less digits than its factorization.

347972555280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29607 (or 29594 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 347972555280 in words is "three hundred forty-seven billion, nine hundred seventy-two million, five hundred fifty-five thousand, two hundred eighty".