345249631776 has 192 divisors, whose sum is σ = 1073884815360. Its totient is φ = 95038894080.

The previous prime is 345249631759. The next prime is 345249631777. The reversal of 345249631776 is 677136942543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345249631777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692360 + ... + 4765368.

It is an arithmetic number, because the mean of its divisors is an integer number (5593150080).

Almost surely, 2^345249631776 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 345249631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536942407680).

345249631776 is an abundant number, since it is smaller than the sum of its proper divisors (728635183584).

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

345249631776 is a wasteful number, since it uses less digits than its factorization.

345249631776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73287 (or 73279 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 57.

The spelling of 345249631776 in words is "three hundred forty-five billion, two hundred forty-nine million, six hundred thirty-one thousand, seven hundred seventy-six".