3415303540000 has 480 divisors, whose sum is σ = 9381602926080. Its totient is φ = 1213056000000.

The previous prime is 3415303539983. The next prime is 3415303540009. The reversal of 3415303540000 is 453035143.

3415303540000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3415303540009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1750539025 + ... + 1750540975.

It is an arithmetic number, because the mean of its divisors is an integer number (19545006096).

Almost surely, 2^{3415303540000} 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 3415303540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690801463040).

3415303540000 is an abundant number, since it is smaller than the sum of its proper divisors (5966299386080).

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

3415303540000 is a wasteful number, since it uses less digits than its factorization.

3415303540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 3415303540000 its reverse (453035143), we get a palindrome (3415756575143).

The spelling of 3415303540000 in words is "three trillion, four hundred fifteen billion, three hundred three million, five hundred forty thousand".