3406804272 has 200 divisors, whose sum is σ = 10716456960. Its totient is φ = 1040895360.

The previous prime is 3406804243. The next prime is 3406804273. The reversal of 3406804272 is 2724086043.

3406804272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3406804273) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761113 + ... + 765575.

Almost surely, 2^3406804272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406804272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358228480).

3406804272 is an abundant number, since it is smaller than the sum of its proper divisors (7309652688).

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

3406804272 is a wasteful number, since it uses less digits than its factorization.

3406804272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4518 counting only the distinct ones).

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

The square root of 3406804272 is about 58367.8359372694. The cubic root of 3406804272 is about 1504.6970206461.

The spelling of 3406804272 in words is "three billion, four hundred six million, eight hundred four thousand, two hundred seventy-two".