345777966 has 48 divisors (see below), whose sum is σ = 772110144. Its totient is φ = 111777792.

The previous prime is 345777953. The next prime is 345777967. The reversal of 345777966 is 669777543.

345777966 is a `hidden beast` number, since 3 + 4 + 577 + 7 + 9 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345777967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93790 + ... + 97406.

It is an arithmetic number, because the mean of its divisors is an integer number (16085628).

Almost surely, 2^345777966 is an apocalyptic number.

345777966 is an abundant number, since it is smaller than the sum of its proper divisors (426332178).

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

345777966 is a wasteful number, since it uses less digits than its factorization.

345777966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3782 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 345777966 is about 18595.1059690447. The cubic root of 345777966 is about 701.8846938480.

The spelling of 345777966 in words is "three hundred forty-five million, seven hundred seventy-seven thousand, nine hundred sixty-six".