345280610304 has 760 divisors, whose sum is σ = 1242384029568. Its totient is φ = 93428121600.

The previous prime is 345280610287. The next prime is 345280610309. The reversal of 345280610304 is 403016082543.

345280610304 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 8 + 0 + 610 + 30 + 4 = 666.

It is a super-3 number, since 3×345280610304³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345280610309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3418619854 + ... + 3418619954.

Almost surely, 2^345280610304 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 345280610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621192014784).

345280610304 is an abundant number, since it is smaller than the sum of its proper divisors (897103419264).

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

345280610304 is an frugal number, since it uses more digits than its factorization.

345280610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 345280610304 its reverse (403016082543), we get a palindrome (748296692847).

The spelling of 345280610304 in words is "three hundred forty-five billion, two hundred eighty million, six hundred ten thousand, three hundred four".