345040488000 has 336 divisors, whose sum is σ = 1329214579056. Its totient is φ = 84932812800.

The previous prime is 345040487983. The next prime is 345040488007. The reversal of 345040488000 is 884040543.

345040488000 is a `hidden beast` number, since 34 + 504 + 0 + 48 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 274441872384 + 70598615616 = 523872^2 + 265704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345040488007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751684 + ... + 1120316.

It is an arithmetic number, because the mean of its divisors is an integer number (3955995771).

Almost surely, 2^345040488000 is an apocalyptic number.

345040488000 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 345040488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664607289528).

345040488000 is an abundant number, since it is smaller than the sum of its proper divisors (984174091056).

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

345040488000 is a wasteful number, since it uses less digits than its factorization.

345040488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368679 (or 368656 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 345040488000 in words is "three hundred forty-five billion, forty million, four hundred eighty-eight thousand".