343777474737 has 48 divisors (see below), whose sum is σ = 523984183632. Its totient is φ = 216903536640.

The previous prime is 343777474679. The next prime is 343777474753. The reversal of 343777474737 is 737474777343.

343777474737 is a `hidden beast` number, since 34 + 37 + 77 + 474 + 7 + 37 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8720571456 + 335056903281 = 93384^2 + 578841^2 .

It is not a de Polignac number, because 343777474737 - 2¹⁶ = 343777409201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343777474787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4563703 + ... + 4638419.

It is an arithmetic number, because the mean of its divisors is an integer number (10916337159).

Almost surely, 2^343777474737 is an apocalyptic number.

343777474737 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

343777474737 is a deficient number, since it is larger than the sum of its proper divisors (180206708895).

343777474737 is a wasteful number, since it uses less digits than its factorization.

343777474737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75138 (or 75135 counting only the distinct ones).

The product of its digits is 203297472, while the sum is 63.

The spelling of 343777474737 in words is "three hundred forty-three billion, seven hundred seventy-seven million, four hundred seventy-four thousand, seven hundred thirty-seven".