3404402217216 has 3456 divisors, whose sum is σ = 15071886950400. Its totient is φ = 730730004480.

The previous prime is 3404402217211. The next prime is 3404402217259. The reversal of 3404402217216 is 6127122044043.

3404402217216 is a `hidden beast` number, since 3 + 40 + 440 + 2 + 2 + 172 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (3404402217211) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72434089705 + ... + 72434089751.

It is an arithmetic number, because the mean of its divisors is an integer number (4361078400).

Almost surely, 2^{3404402217216} is an apocalyptic number.

3404402217216 is a gapful number since it is divisible by the number (36) 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 3404402217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535943475200).

3404402217216 is an abundant number, since it is smaller than the sum of its proper divisors (11667484733184).

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

3404402217216 is a wasteful number, since it uses less digits than its factorization.

3404402217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3404402217216 in words is "three trillion, four hundred four billion, four hundred two million, two hundred seventeen thousand, two hundred sixteen".