345200246352 has 360 divisors, whose sum is σ = 1072218421248. Its totient is φ = 103594982400.

The previous prime is 345200246351. The next prime is 345200246357. The reversal of 345200246352 is 253642002543.

345200246352 is a `hidden beast` number, since 3 + 4 + 520 + 0 + 24 + 63 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345200246351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188530077 + ... + 188531907.

Almost surely, 2^345200246352 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 345200246352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536109210624).

345200246352 is an abundant number, since it is smaller than the sum of its proper divisors (727018174896).

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

345200246352 is a wasteful number, since it uses less digits than its factorization.

345200246352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 345200246352 its reverse (253642002543), we get a palindrome (598842248895).

The spelling of 345200246352 in words is "three hundred forty-five billion, two hundred million, two hundred forty-six thousand, three hundred fifty-two".