345865950 has 240 divisors, whose sum is σ = 1037076480. Its totient is φ = 85250880.

The previous prime is 345865931. The next prime is 345865957. The reversal of 345865950 is 59568543.

345865950 is a `hidden beast` number, since 3 + 4 + 58 + 6 + 595 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 345865896 and 345865905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345865957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4378011 + ... + 4378089.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^345865950 is an apocalyptic number.

345865950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345865950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518538240).

345865950 is an abundant number, since it is smaller than the sum of its proper divisors (691210530).

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

345865950 is a wasteful number, since it uses less digits than its factorization.

345865950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 345865950 is about 18597.4716023442. The cubic root of 345865950 is about 701.9442208584.

The spelling of 345865950 in words is "three hundred forty-five million, eight hundred sixty-five thousand, nine hundred fifty".