3499393248 has 144 divisors (see below), whose sum is σ = 11281168080. Its totient is φ = 1020045312.

The previous prime is 3499393193. The next prime is 3499393273. The reversal of 3499393248 is 8423939943.

3499393248 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 393 + 248 = 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 = 3499393194 and 3499393203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46540 + ... + 95732.

It is an arithmetic number, because the mean of its divisors is an integer number (78341445).

Almost surely, 2^3499393248 is an apocalyptic number.

3499393248 is a gapful number since it is divisible by the number (38) 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 3499393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640584040).

3499393248 is an abundant number, since it is smaller than the sum of its proper divisors (7781774832).

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

3499393248 is a wasteful number, since it uses less digits than its factorization.

3499393248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49241 (or 49230 counting only the distinct ones).

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

The square root of 3499393248 is about 59155.6696183891. The cubic root of 3499393248 is about 1518.2067448469.

The spelling of 3499393248 in words is "three billion, four hundred ninety-nine million, three hundred ninety-three thousand, two hundred forty-eight".