345015040400 has 120 divisors (see below), whose sum is σ = 837447728040. Its totient is φ = 136585543680.

The previous prime is 345015040397. The next prime is 345015040421. The reversal of 345015040400 is 4040510543.

It can be written as a sum of positive squares in 12 ways, for example, as 4617474304 + 340397566096 = 67952^2 + 583436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345015040400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43465232 + ... + 43473168.

It is an arithmetic number, because the mean of its divisors is an integer number (6978731067).

Almost surely, 2^345015040400 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 345015040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418723864020).

345015040400 is an abundant number, since it is smaller than the sum of its proper divisors (492432687640).

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

345015040400 is a wasteful number, since it uses less digits than its factorization.

345015040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 345015040400 its reverse (4040510543), we get a palindrome (349055550943).

The spelling of 345015040400 in words is "three hundred forty-five billion, fifteen million, forty thousand, four hundred".