347122878480 has 240 divisors, whose sum is σ = 1332621623424. Its totient is φ = 79322664960.

The previous prime is 347122878419. The next prime is 347122878493. The reversal of 347122878480 is 84878221743.

347122878480 is a `hidden beast` number, since 3 + 4 + 71 + 2 + 28 + 78 + 480 = 666.

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

It is a super-2 number, since 2×347122878480² (a number of 24 digits) contains 22 as substring.

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, 32658927 + ... + 32669553.

Almost surely, 2^347122878480 is an apocalyptic number.

347122878480 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 347122878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666310811712).

347122878480 is an abundant number, since it is smaller than the sum of its proper divisors (985498744944).

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

347122878480 is a wasteful number, since it uses less digits than its factorization.

347122878480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

It can be divided in two parts, 34712 and 2878480, that added together give a palindrome (2913192).

The spelling of 347122878480 in words is "three hundred forty-seven billion, one hundred twenty-two million, eight hundred seventy-eight thousand, four hundred eighty".