345004513020 has 144 divisors (see below), whose sum is σ = 1078239157632. Its totient is φ = 89238113280.

The previous prime is 345004512973. The next prime is 345004513027. The reversal of 345004513020 is 20315400543.

345004513020 is a `hidden beast` number, since 3 + 4 + 500 + 4 + 5 + 130 + 20 = 666.

It is a super-2 number, since 2×345004513020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345004513027) 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, 1141629 + ... + 1411851.

It is an arithmetic number, because the mean of its divisors is an integer number (7487771928).

Almost surely, 2^345004513020 is an apocalyptic number.

345004513020 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 345004513020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539119578816).

345004513020 is an abundant number, since it is smaller than the sum of its proper divisors (733234644612).

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

345004513020 is a wasteful number, since it uses less digits than its factorization.

345004513020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270452 (or 270447 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 345004513020 its reverse (20315400543), we get a palindrome (365319913563).

The spelling of 345004513020 in words is "three hundred forty-five billion, four million, five hundred thirteen thousand, twenty".