3394849248 has 144 divisors (see below), whose sum is σ = 11102023296. Its totient is φ = 963912960.

The previous prime is 3394849247. The next prime is 3394849259. The reversal of 3394849248 is 8429484933.

3394849248 is a `hidden beast` number, since 3 + 39 + 484 + 92 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3394849194 and 3394849203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394849247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323443 + ... + 333773.

It is an arithmetic number, because the mean of its divisors is an integer number (77097384).

Almost surely, 2^3394849248 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 3394849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551011648).

3394849248 is an abundant number, since it is smaller than the sum of its proper divisors (7707174048).

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

3394849248 is a wasteful number, since it uses less digits than its factorization.

3394849248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10506 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3394849248 is about 58265.3348741771. The cubic root of 3394849248 is about 1502.9348832285.

The spelling of 3394849248 in words is "three billion, three hundred ninety-four million, eight hundred forty-nine thousand, two hundred forty-eight".