345785440 has 384 divisors, whose sum is σ = 1170505728. Its totient is φ = 92897280.

The previous prime is 345785437. The next prime is 345785507. The reversal of 345785440 is 44587543.

345785440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 345785393 and 345785402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2722657 + ... + 2722783.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2^345785440 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 345785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585252864).

345785440 is an abundant number, since it is smaller than the sum of its proper divisors (824720288).

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

345785440 is a wasteful number, since it uses less digits than its factorization.

345785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The square root of 345785440 is about 18595.3069348156. The cubic root of 345785440 is about 701.8897508970.

The spelling of 345785440 in words is "three hundred forty-five million, seven hundred eighty-five thousand, four hundred forty".