345646317600 has 216 divisors, whose sum is σ = 1219596667380. Its totient is φ = 92114780160.

The previous prime is 345646317553. The next prime is 345646317629. The reversal of 345646317600 is 6713646543.

345646317600 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 4 + 6 + 31 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 303129527184 + 42516790416 = 550572^2 + 206196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12204256 + ... + 12232544.

Almost surely, 2^345646317600 is an apocalyptic number.

345646317600 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 345646317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609798333690).

345646317600 is an abundant number, since it is smaller than the sum of its proper divisors (873950349780).

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

345646317600 is a wasteful number, since it uses less digits than its factorization.

345646317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30012 (or 29996 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 345646317600 in words is "three hundred forty-five billion, six hundred forty-six million, three hundred seventeen thousand, six hundred".