347474779776 has 960 divisors, whose sum is σ = 1191751418880. Its totient is φ = 100078239744.

The previous prime is 347474779739. The next prime is 347474779937. The reversal of 347474779776 is 677977474743.

347474779776 is a `hidden beast` number, since 3 + 47 + 47 + 477 + 9 + 7 + 76 = 666.

It is a super-2 number, since 2×347474779776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2736021825 + ... + 2736021951.

It is an arithmetic number, because the mean of its divisors is an integer number (1241407728).

Almost surely, 2^347474779776 is an apocalyptic number.

347474779776 is a gapful number since it is divisible by the number (36) 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 347474779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595875709440).

347474779776 is an abundant number, since it is smaller than the sum of its proper divisors (844276639104).

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

347474779776 is a wasteful number, since it uses less digits than its factorization.

347474779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its digits is 1219784832, while the sum is 72.

The spelling of 347474779776 in words is "three hundred forty-seven billion, four hundred seventy-four million, seven hundred seventy-nine thousand, seven hundred seventy-six".