345123837360 has 240 divisors, whose sum is σ = 1196366433600. Its totient is φ = 89094297600.

The previous prime is 345123837347. The next prime is 345123837419. The reversal of 345123837360 is 63738321543.

345123837360 is a `hidden beast` number, since 3 + 4 + 51 + 238 + 3 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×345123837360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5268810 + ... + 5333910.

It is an arithmetic number, because the mean of its divisors is an integer number (4984860140).

Almost surely, 2^345123837360 is an apocalyptic number.

345123837360 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 345123837360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598183216800).

345123837360 is an abundant number, since it is smaller than the sum of its proper divisors (851242596240).

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

345123837360 is a wasteful number, since it uses less digits than its factorization.

345123837360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65356 (or 65347 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 345123837360 in words is "three hundred forty-five billion, one hundred twenty-three million, eight hundred thirty-seven thousand, three hundred sixty".