345206770560 has 96 divisors (see below), whose sum is σ = 1192042149480. Its totient is φ = 92055137280.

The previous prime is 345206770541. The next prime is 345206770627. The reversal of 345206770560 is 65077602543.

345206770560 is a `hidden beast` number, since 3 + 4 + 5 + 20 + 67 + 7 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 29960106 + ... + 29971625.

Almost surely, 2^345206770560 is an apocalyptic number.

345206770560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345206770560 is an abundant number, since it is smaller than the sum of its proper divisors (846835378920).

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

345206770560 is a wasteful number, since it uses less digits than its factorization.

345206770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59931756 (or 59931741 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 345206770560 in words is "three hundred forty-five billion, two hundred six million, seven hundred seventy thousand, five hundred sixty".