347075340480 has 896 divisors, whose sum is σ = 1370967966720. Its totient is φ = 81948672000.

The previous prime is 347075340457. The next prime is 347075340509. The reversal of 347075340480 is 84043570743.

347075340480 is a `hidden beast` number, since 3 + 4 + 70 + 7 + 534 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×347075340480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 759464412 + ... + 759464868.

Almost surely, 2^347075340480 is an apocalyptic number.

347075340480 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 347075340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685483983360).

347075340480 is an abundant number, since it is smaller than the sum of its proper divisors (1023892626240).

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

347075340480 is a wasteful number, since it uses less digits than its factorization.

347075340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

It can be divided in two parts, 3470 and 75340480, that added together give a triangular number (75343950 = T₁₂₂₇₅).

The spelling of 347075340480 in words is "three hundred forty-seven billion, seventy-five million, three hundred forty thousand, four hundred eighty".