3405126816 has 576 divisors, whose sum is σ = 13031020800. Its totient is φ = 855816192.

The previous prime is 3405126797. The next prime is 3405126817. The reversal of 3405126816 is 6186215043.

It is a happy number.

3405126816 is a `hidden beast` number, since 340 + 51 + 268 + 1 + 6 = 666.

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 (3405126817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12658330 + ... + 12658598.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^3405126816 is an apocalyptic number.

3405126816 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 3405126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515510400).

3405126816 is an abundant number, since it is smaller than the sum of its proper divisors (9625893984).

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

3405126816 is a wasteful number, since it uses less digits than its factorization.

3405126816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3405126816 is about 58353.4644729857. The cubic root of 3405126816 is about 1504.4500171763.

The spelling of 3405126816 in words is "three billion, four hundred five million, one hundred twenty-six thousand, eight hundred sixteen".