345206896900 has 72 divisors (see below), whose sum is σ = 777090888000. Its totient is φ = 132949514880.

The previous prime is 345206896861. The next prime is 345206896927. The reversal of 345206896900 is 9698602543.

It is a super-2 number, since 2×345206896900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875311 + ... + 1206889.

It is an arithmetic number, because the mean of its divisors is an integer number (10792929000).

Almost surely, 2^345206896900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345206896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388545444000).

345206896900 is an abundant number, since it is smaller than the sum of its proper divisors (431883991100).

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

345206896900 is a wasteful number, since it uses less digits than its factorization.

345206896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331981 (or 331974 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 345206896900 in words is "three hundred forty-five billion, two hundred six million, eight hundred ninety-six thousand, nine hundred".