345950966400 has 384 divisors, whose sum is σ = 1291722532800. Its totient is φ = 80674652160.

The previous prime is 345950966323. The next prime is 345950966407. The reversal of 345950966400 is 4669059543.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (345950966407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298252 + ... + 2444148.

Almost surely, 2^345950966400 is an apocalyptic number.

345950966400 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 345950966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645861266400).

345950966400 is an abundant number, since it is smaller than the sum of its proper divisors (945771566400).

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

345950966400 is a wasteful number, since it uses less digits than its factorization.

345950966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145956 (or 145939 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 345950966400 in words is "three hundred forty-five billion, nine hundred fifty million, nine hundred sixty-six thousand, four hundred".