345104640 has 216 divisors, whose sum is σ = 1236395160. Its totient is φ = 88768512.

The previous prime is 345104579. The next prime is 345104647. The reversal of 345104640 is 46401543.

345104640 is a `hidden beast` number, since 3 + 4 + 5 + 10 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120824064 + 224280576 = 10992^2 + 14976^2 .

It is not an unprimeable number, because it can be changed into a prime (345104647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333564 + ... + 334596.

Almost surely, 2^345104640 is an apocalyptic number.

345104640 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 345104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618197580).

345104640 is an abundant number, since it is smaller than the sum of its proper divisors (891290520).

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

345104640 is a wasteful number, since it uses less digits than its factorization.

345104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345104640 is about 18576.9922215627. The cubic root of 345104640 is about 701.4288094832.

It can be divided in two parts, 345104 and 640, that added together give a square (345744 = 588²).

The spelling of 345104640 in words is "three hundred forty-five million, one hundred four thousand, six hundred forty".