345465648 has 150 divisors (see below), whose sum is σ = 1099538132. Its totient is φ = 104639040.

The previous prime is 345465641. The next prime is 345465697. The reversal of 345465648 is 846564543.

345465648 is a `hidden beast` number, since 3 + 45 + 46 + 564 + 8 = 666.

It is a super-3 number, since 3×345465648³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345465641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155715 + ... + 157917.

Almost surely, 2^345465648 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 345465648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549769066).

345465648 is an abundant number, since it is smaller than the sum of its proper divisors (754072484).

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

345465648 is a wasteful number, since it uses less digits than its factorization.

345465648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2219 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 345465648 is about 18586.7062170789. The cubic root of 345465648 is about 701.6733084330.

The spelling of 345465648 in words is "three hundred forty-five million, four hundred sixty-five thousand, six hundred forty-eight".