3826610424 has 384 divisors, whose sum is σ = 13424087040. Its totient is φ = 994332672.

The previous prime is 3826610413. The next prime is 3826610429. The reversal of 3826610424 is 4240166283.

3826610424 is a `hidden beast` number, since 38 + 2 + 6 + 610 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826610429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17159577 + ... + 17159799.

It is an arithmetic number, because the mean of its divisors is an integer number (34958560).

Almost surely, 2^3826610424 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 3826610424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712043520).

3826610424 is an abundant number, since it is smaller than the sum of its proper divisors (9597476616).

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

3826610424 is a wasteful number, since it uses less digits than its factorization.

3826610424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3826610424 is about 61859.6025205465. The cubic root of 3826610424 is about 1564.1248529436.

The spelling of 3826610424 in words is "three billion, eight hundred twenty-six million, six hundred ten thousand, four hundred twenty-four".