345909959800 has 96 divisors (see below), whose sum is σ = 841557386880. Its totient is φ = 132066201600.

The previous prime is 345909959779. The next prime is 345909959809. The reversal of 345909959800 is 8959909543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345909959809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70464 + ... + 834736.

It is an arithmetic number, because the mean of its divisors is an integer number (8766222780).

Almost surely, 2^345909959800 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 345909959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420778693440).

345909959800 is an abundant number, since it is smaller than the sum of its proper divisors (495647427080).

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

345909959800 is a wasteful number, since it uses less digits than its factorization.

345909959800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764393 (or 764384 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 61.

The spelling of 345909959800 in words is "three hundred forty-five billion, nine hundred nine million, nine hundred fifty-nine thousand, eight hundred".