3349399248 has 320 divisors, whose sum is σ = 10818752000. Its totient is φ = 997691904.

The previous prime is 3349399241. The next prime is 3349399271. The reversal of 3349399248 is 8429939433.

3349399248 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 399 + 248 = 666.

3349399248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3349399248² = 22436950645005931008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 3349399194 and 3349399203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349399241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16831053 + ... + 16831251.

It is an arithmetic number, because the mean of its divisors is an integer number (33808600).

Almost surely, 2^3349399248 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 3349399248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409376000).

3349399248 is an abundant number, since it is smaller than the sum of its proper divisors (7469352752).

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

3349399248 is a wasteful number, since it uses less digits than its factorization.

3349399248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 3349399248 is about 57873.9945744200. The cubic root of 3349399248 is about 1496.1976656465.

The spelling of 3349399248 in words is "three billion, three hundred forty-nine million, three hundred ninety-nine thousand, two hundred forty-eight".