345861952800 has 432 divisors, whose sum is σ = 1410324858432. Its totient is φ = 72972748800.

The previous prime is 345861952783. The next prime is 345861952829. The reversal of 345861952800 is 8259168543.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1415685 + ... + 1641915.

It is an arithmetic number, because the mean of its divisors is an integer number (3264640876).

Almost surely, 2^345861952800 is an apocalyptic number.

345861952800 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 345861952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705162429216).

345861952800 is an abundant number, since it is smaller than the sum of its proper divisors (1064462905632).

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

345861952800 is a wasteful number, since it uses less digits than its factorization.

345861952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226281 (or 226261 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 345861952800 in words is "three hundred forty-five billion, eight hundred sixty-one million, nine hundred fifty-two thousand, eight hundred".