345402132595200 has 2400 divisors, whose sum is σ = 1370785227215184. Its totient is φ = 85593748930560.

The previous prime is 345402132595127. The next prime is 345402132595229. The reversal of 345402132595200 is 2595231204543.

It is a happy number.

345402132595200 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 0 + 2 + 1 + 32 + 595 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3339770870016 + 342062361725184 = 1827504^2 + 18494928^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 755803353372 + ... + 755803353828.

Almost surely, 2^{345402132595200} is an apocalyptic number.

345402132595200 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 345402132595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685392613607592).

345402132595200 is an abundant number, since it is smaller than the sum of its proper divisors (1025383094619984).

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

345402132595200 is a wasteful number, since it uses less digits than its factorization.

345402132595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 345402132595200 its reverse (2595231204543), we get a palindrome (347997363799743).

The spelling of 345402132595200 in words is "three hundred forty-five trillion, four hundred two billion, one hundred thirty-two million, five hundred ninety-five thousand, two hundred".