345606075360 has 1152 divisors, whose sum is σ = 1541382635520. Its totient is φ = 68474585088.

The previous prime is 345606075301. The next prime is 345606075361. The reversal of 345606075360 is 63570606543.

345606075360 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 0 + 607 + 5 + 36 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345606075361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316198974 + ... + 316200066.

It is an arithmetic number, because the mean of its divisors is an integer number (1338005760).

Almost surely, 2^345606075360 is an apocalyptic number.

345606075360 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 345606075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770691317760).

345606075360 is an abundant number, since it is smaller than the sum of its proper divisors (1195776560160).

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

345606075360 is a wasteful number, since it uses less digits than its factorization.

345606075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 345606075360 in words is "three hundred forty-five billion, six hundred six million, seventy-five thousand, three hundred sixty".