346135324500240 has 320 divisors, whose sum is σ = 1208365173964800. Its totient is φ = 81202199500800.

The previous prime is 346135324500151. The next prime is 346135324500241. The reversal of 346135324500240 is 42005423531643.

It is a junction number, because it is equal to n+sod(n) for n = 346135324500192 and 346135324500201.

It is not an unprimeable number, because it can be changed into a prime (346135324500241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4192540081 + ... + 4192622639.

It is an arithmetic number, because the mean of its divisors is an integer number (3776141168640).

Almost surely, 2^{346135324500240} is an apocalyptic number.

346135324500240 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 346135324500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604182586982400).

346135324500240 is an abundant number, since it is smaller than the sum of its proper divisors (862229849464560).

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

346135324500240 is a wasteful number, since it uses less digits than its factorization.

346135324500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133846 (or 133840 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 346135324500240 in words is "three hundred forty-six trillion, one hundred thirty-five billion, three hundred twenty-four million, five hundred thousand, two hundred forty".