345280344160 has 192 divisors, whose sum is σ = 871117535232. Its totient is φ = 128877060096.

The previous prime is 345280344139. The next prime is 345280344161. The reversal of 345280344160 is 61443082543.

It is a super-2 number, since 2×345280344160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345280344161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269118879 + ... + 269120161.

It is an arithmetic number, because the mean of its divisors is an integer number (4537070496).

Almost surely, 2^345280344160 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 345280344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435558767616).

345280344160 is an abundant number, since it is smaller than the sum of its proper divisors (525837191072).

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

345280344160 is a wasteful number, since it uses less digits than its factorization.

345280344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 345280344160 in words is "three hundred forty-five billion, two hundred eighty million, three hundred forty-four thousand, one hundred sixty".