3404169216 has 384 divisors, whose sum is σ = 12022788960. Its totient is φ = 905969664.

The previous prime is 3404169187. The next prime is 3404169227. The reversal of 3404169216 is 6129614043.

3404169216 is a `hidden beast` number, since 340 + 41 + 69 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35094480 + ... + 35094576.

Almost surely, 2^3404169216 is an apocalyptic number.

3404169216 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 3404169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011394480).

3404169216 is an abundant number, since it is smaller than the sum of its proper divisors (8618619744).

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

3404169216 is an equidigital number, since it uses as much as digits as its factorization.

3404169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3404169216 is about 58345.2587276807. The cubic root of 3404169216 is about 1504.3089753018.

The spelling of 3404169216 in words is "three billion, four hundred four million, one hundred sixty-nine thousand, two hundred sixteen".