345659940 has 96 divisors (see below), whose sum is σ = 1082108160. Its totient is φ = 91600128.

The previous prime is 345659917. The next prime is 345659947. The reversal of 345659940 is 49956543.

345659940 is a `hidden beast` number, since 3 + 4 + 56 + 599 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345659947) 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, 88264 + ... + 92096.

It is an arithmetic number, because the mean of its divisors is an integer number (11271960).

Almost surely, 2^345659940 is an apocalyptic number.

345659940 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 345659940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541054080).

345659940 is an abundant number, since it is smaller than the sum of its proper divisors (736448220).

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

345659940 is a wasteful number, since it uses less digits than its factorization.

345659940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 345659940 is about 18591.9321212186. The cubic root of 345659940 is about 701.8048255719.

The spelling of 345659940 in words is "three hundred forty-five million, six hundred fifty-nine thousand, nine hundred forty".