345400880706 has 96 divisors (see below), whose sum is σ = 886168752768. Its totient is φ = 95168908800.

The previous prime is 345400880651. The next prime is 345400880707. The reversal of 345400880706 is 607088004543.

345400880706 is a `hidden beast` number, since 34 + 540 + 0 + 8 + 8 + 0 + 70 + 6 = 666.

345400880706 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345400880707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198981 + ... + 854631.

It is an arithmetic number, because the mean of its divisors is an integer number (9230924508).

Almost surely, 2^345400880706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345400880706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443084376384).

345400880706 is an abundant number, since it is smaller than the sum of its proper divisors (540767872062).

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

345400880706 is a wasteful number, since it uses less digits than its factorization.

345400880706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655816 (or 655813 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 345400880706 in words is "three hundred forty-five billion, four hundred million, eight hundred eighty thousand, seven hundred six".