3456769600 has 84 divisors (see below), whose sum is σ = 8593888324. Its totient is φ = 1368391680.

The previous prime is 3456769559. The next prime is 3456769643. The reversal of 3456769600 is 69676543.

It can be written as a sum of positive squares in 6 ways, for example, as 902882304 + 2553887296 = 30048^2 + 50536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144064 + ... + 166336.

Almost surely, 2^3456769600 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 3456769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296944162).

3456769600 is an abundant number, since it is smaller than the sum of its proper divisors (5137118724).

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

3456769600 is a wasteful number, since it uses less digits than its factorization.

3456769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22392 (or 22377 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The square root of 3456769600 is about 58794.2990433596. The cubic root of 3456769600 is about 1512.0174778454.

The spelling of 3456769600 in words is "three billion, four hundred fifty-six million, seven hundred sixty-nine thousand, six hundred".