345221040 has 160 divisors (see below), whose sum is σ = 1141641216. Its totient is φ = 85995520.

The previous prime is 345221033. The next prime is 345221059. The reversal of 345221040 is 40122543.

It is a junction number, because it is equal to n+sod(n) for n = 345220998 and 345221016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779059 + ... + 779501.

Almost surely, 2^345221040 is an apocalyptic number.

345221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570820608).

345221040 is an abundant number, since it is smaller than the sum of its proper divisors (796420176).

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

345221040 is a wasteful number, since it uses less digits than its factorization.

345221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 345221040 is about 18580.1248650271. The cubic root of 345221040 is about 701.5076620265.

Adding to 345221040 its reverse (40122543), we get a palindrome (385343583).

The spelling of 345221040 in words is "three hundred forty-five million, two hundred twenty-one thousand, forty".