3411217405824 has 128 divisors (see below), whose sum is σ = 9149750064000. Its totient is φ = 1125983201280.

The previous prime is 3411217405823. The next prime is 3411217405859. The reversal of 3411217405824 is 4285047121143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411217405823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20681119 + ... + 20845409.

It is an arithmetic number, because the mean of its divisors is an integer number (71482422375).

Almost surely, 2^{3411217405824} 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 3411217405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574875032000).

3411217405824 is an abundant number, since it is smaller than the sum of its proper divisors (5738532658176).

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

3411217405824 is a wasteful number, since it uses less digits than its factorization.

3411217405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164836 (or 164824 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 3411217405824 in words is "three trillion, four hundred eleven billion, two hundred seventeen million, four hundred five thousand, eight hundred twenty-four".