3404765600 has 72 divisors (see below), whose sum is σ = 8331927660. Its totient is φ = 1358622720.

The previous prime is 3404765579. The next prime is 3404765603. The reversal of 3404765600 is 65674043.

It can be written as a sum of positive squares in 6 ways, for example, as 1287661456 + 2117104144 = 35884^2 + 46012^2 .

It is not an unprimeable number, because it can be changed into a prime (3404765603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341486 + ... + 351314.

Almost surely, 2^3404765600 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 3404765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165963830).

3404765600 is an abundant number, since it is smaller than the sum of its proper divisors (4927162060).

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

3404765600 is a wasteful number, since it uses less digits than its factorization.

3404765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3404765600 is about 58350.3693218818. The cubic root of 3404765600 is about 1504.3968179208.

The spelling of 3404765600 in words is "three billion, four hundred four million, seven hundred sixty-five thousand, six hundred".