345310027776 has 672 divisors, whose sum is σ = 1203670805760. Its totient is φ = 97542144000.

The previous prime is 345310027757. The next prime is 345310027837. The reversal of 345310027776 is 677720013543.

345310027776 is a `hidden beast` number, since 3 + 453 + 100 + 27 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636540311 + ... + 1636540521.

Almost surely, 2^345310027776 is an apocalyptic number.

345310027776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345310027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601835402880).

345310027776 is an abundant number, since it is smaller than the sum of its proper divisors (858360777984).

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

345310027776 is a wasteful number, since it uses less digits than its factorization.

345310027776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 345310027776 in words is "three hundred forty-five billion, three hundred ten million, twenty-seven thousand, seven hundred seventy-six".