3421005363216 has 405 divisors, whose sum is σ = 11302967816829. Its totient is φ = 963092035584.

The previous prime is 3421005363211. The next prime is 3421005363239. The reversal of 3421005363216 is 6123635001243.

The square root of 3421005363216 is 1849596.

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

3421005363216 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 0 + 5 + 3 + 632 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1536161936400 + 1884843426816 = 1239420^2 + 1372896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3421005363211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15070508095 + ... + 15070508321.

Almost surely, 2^{3421005363216} is an apocalyptic number.

3421005363216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3421005363216 is the 1849596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421005363216

3421005363216 is an abundant number, since it is smaller than the sum of its proper divisors (7881962453613).

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

3421005363216 is an equidigital number, since it uses as much as digits as its factorization.

3421005363216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 3421005363216 by its sum of digits (36), we get a square (123156193075776 = 11097576²).

3421005363216 divided by its sum of digits (36) gives a square (95027926756 = 308266²).

The spelling of 3421005363216 in words is "three trillion, four hundred twenty-one billion, five million, three hundred sixty-three thousand, two hundred sixteen".