345401120 has 96 divisors (see below), whose sum is σ = 870041088. Its totient is φ = 129276928.

The previous prime is 345401041. The next prime is 345401131. The reversal of 345401120 is 21104543.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 345401092 and 345401101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171962 + ... + 173958.

It is an arithmetic number, because the mean of its divisors is an integer number (9062928).

Almost surely, 2^345401120 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 345401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435020544).

345401120 is an abundant number, since it is smaller than the sum of its proper divisors (524639968).

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

345401120 is a wasteful number, since it uses less digits than its factorization.

345401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 345401120 is about 18584.9702717007. The cubic root of 345401120 is about 701.6296182283.

Adding to 345401120 its reverse (21104543), we get a palindrome (366505663).

The spelling of 345401120 in words is "three hundred forty-five million, four hundred one thousand, one hundred twenty".