345930177978 has 80 divisors (see below), whose sum is σ = 966408151104. Its totient is φ = 89851991040.

The previous prime is 345930177961. The next prime is 345930178019. The reversal of 345930177978 is 879771039543.

345930177978 is a `hidden beast` number, since 3 + 459 + 3 + 0 + 177 + 9 + 7 + 8 = 666.

It is a super-3 number, since 3×345930177978³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13853575 + ... + 13878522.

Almost surely, 2^345930177978 is an apocalyptic number.

345930177978 is an abundant number, since it is smaller than the sum of its proper divisors (620477973126).

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

345930177978 is a wasteful number, since it uses less digits than its factorization.

345930177978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27732129 (or 27732120 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 345930177978 in words is "three hundred forty-five billion, nine hundred thirty million, one hundred seventy-seven thousand, nine hundred seventy-eight".