3448691136 has 252 divisors, whose sum is σ = 11237564520. Its totient is φ = 1001656320.

The previous prime is 3448691123. The next prime is 3448691143. The reversal of 3448691136 is 6311968443.

3448691136 is a `hidden beast` number, since 34 + 486 + 9 + 1 + 136 = 666.

3448691136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3448691091 and 3448691100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25172860 + ... + 25172996.

It is an arithmetic number, because the mean of its divisors is an integer number (44593510).

Almost surely, 2^3448691136 is an apocalyptic number.

3448691136 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 3448691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618782260).

3448691136 is an abundant number, since it is smaller than the sum of its proper divisors (7788873384).

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

3448691136 is a wasteful number, since it uses less digits than its factorization.

3448691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 182 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3448691136 is about 58725.5577751289. The cubic root of 3448691136 is about 1510.8386984401.

The spelling of 3448691136 in words is "three billion, four hundred forty-eight million, six hundred ninety-one thousand, one hundred thirty-six".