345184256880 has 240 divisors, whose sum is σ = 1198172505504. Its totient is φ = 88989788160.

The previous prime is 345184256869. The next prime is 345184256891. The reversal of 345184256880 is 88652481543.

345184256880 is a `hidden beast` number, since 3 + 4 + 518 + 42 + 5 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (345184256869) and next prime (345184256891).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4141215 + ... + 4223745.

Almost surely, 2^345184256880 is an apocalyptic number.

345184256880 is a gapful number since it is divisible by the number (30) 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 345184256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599086252752).

345184256880 is an abundant number, since it is smaller than the sum of its proper divisors (852988248624).

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

345184256880 is a wasteful number, since it uses less digits than its factorization.

345184256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82744 (or 82735 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 345184256880 in words is "three hundred forty-five billion, one hundred eighty-four million, two hundred fifty-six thousand, eight hundred eighty".