3411327928320 has 576 divisors, whose sum is σ = 12799354080240. Its totient is φ = 835304030208.

The previous prime is 3411327928289. The next prime is 3411327928357. The reversal of 3411327928320 is 238297231143.

3411327928320 is a `hidden beast` number, since 3 + 41 + 1 + 327 + 9 + 283 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 467330835456 + 2943997092864 = 683616^2 + 1715808^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231222064 + ... + 231236816.

Almost surely, 2^{3411327928320} is an apocalyptic number.

3411327928320 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 3411327928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399677040120).

3411327928320 is an abundant number, since it is smaller than the sum of its proper divisors (9388026151920).

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

3411327928320 is a wasteful number, since it uses less digits than its factorization.

3411327928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14992 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3411327928320 in words is "three trillion, four hundred eleven billion, three hundred twenty-seven million, nine hundred twenty-eight thousand, three hundred twenty".