3411379448064 has 729 divisors, whose sum is σ = 12011049406083. Its totient is φ = 928401610752.

The previous prime is 3411379447907. The next prime is 3411379448093. The reversal of 3411379448064 is 4608449731143.

The square root of 3411379448064 is 1846992.

It is a perfect power (a square), and thus also a powerful number.

3411379448064 is a `hidden beast` number, since 3 + 4 + 1 + 13 + 7 + 94 + 480 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3411379448064.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14273554057 + ... + 14273554295.

Almost surely, 2^{3411379448064} is an apocalyptic number.

3411379448064 is the 1846992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411379448064

3411379448064 is an abundant number, since it is smaller than the sum of its proper divisors (8599669958019).

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

3411379448064 is an equidigital number, since it uses as much as digits as its factorization.

3411379448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3411379448064 in words is "three trillion, four hundred eleven billion, three hundred seventy-nine million, four hundred forty-eight thousand, sixty-four".