3411006842880 has 1152 divisors, whose sum is σ = 14640405212160. Its totient is φ = 715220582400.

The previous prime is 3411006842869. The next prime is 3411006842897. The reversal of 3411006842880 is 882486001143.

3411006842880 is a `hidden beast` number, since 3 + 41 + 100 + 6 + 8 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1450873705 + ... + 1450876055.

It is an arithmetic number, because the mean of its divisors is an integer number (12708685080).

Almost surely, 2^{3411006842880} is an apocalyptic number.

3411006842880 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 3411006842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320202606080).

3411006842880 is an abundant number, since it is smaller than the sum of its proper divisors (11229398369280).

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

3411006842880 is a wasteful number, since it uses less digits than its factorization.

3411006842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 3411006842880 in words is "three trillion, four hundred eleven billion, six million, eight hundred forty-two thousand, eight hundred eighty".