343766740772 has 48 divisors (see below), whose sum is σ = 741966812160. Its totient is φ = 135711649152.

The previous prime is 343766740727. The next prime is 343766740817. The reversal of 343766740772 is 277047667343.

It is an interprime number because it is at equal distance from previous prime (343766740727) and next prime (343766740817).

It is a super-3 number, since 3×343766740772³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811463 + ... + 1160174.

It is an arithmetic number, because the mean of its divisors is an integer number (15457641920).

Almost surely, 2^343766740772 is an apocalyptic number.

It is an amenable number.

343766740772 is an abundant number, since it is smaller than the sum of its proper divisors (398200071388).

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

343766740772 is a wasteful number, since it uses less digits than its factorization.

343766740772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972140 (or 1972138 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 56.

The spelling of 343766740772 in words is "three hundred forty-three billion, seven hundred sixty-six million, seven hundred forty thousand, seven hundred seventy-two".