3834253908 has 240 divisors, whose sum is σ = 10949677200. Its totient is φ = 1167022080.

The previous prime is 3834253901. The next prime is 3834253919. The reversal of 3834253908 is 8093524383.

It can be written as a sum of positive squares in 8 ways, for example, as 346406544 + 3487847364 = 18612^2 + 59058^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834253901) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14253598 + ... + 14253866.

It is an arithmetic number, because the mean of its divisors is an integer number (45623655).

Almost surely, 2^3834253908 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 3834253908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474838600).

3834253908 is an abundant number, since it is smaller than the sum of its proper divisors (7115423292).

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

3834253908 is a wasteful number, since it uses less digits than its factorization.

3834253908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3834253908 is about 61921.3526015057. The cubic root of 3834253908 is about 1565.1655835714.

The spelling of 3834253908 in words is "three billion, eight hundred thirty-four million, two hundred fifty-three thousand, nine hundred eight".