345293964288 has 1848 divisors, whose sum is σ = 1415020814208. Its totient is φ = 81983176704.

The previous prime is 345293964269. The next prime is 345293964289. The reversal of 345293964288 is 882469392543.

It is a happy number.

345293964288 is a `hidden beast` number, since 3 + 4 + 5 + 293 + 9 + 64 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (345293964289) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15012781045 + ... + 15012781067.

Almost surely, 2^345293964288 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 345293964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707510407104).

345293964288 is an abundant number, since it is smaller than the sum of its proper divisors (1069726849920).

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

345293964288 is a wasteful number, since it uses less digits than its factorization.

345293964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 345293964288 in words is "three hundred forty-five billion, two hundred ninety-three million, nine hundred sixty-four thousand, two hundred eighty-eight".