3826907040 has 384 divisors, whose sum is σ = 14230702080. Its totient is φ = 854323200.

The previous prime is 3826907039. The next prime is 3826907047. The reversal of 3826907040 is 407096283.

3826907040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3826907040.

It is not an unprimeable number, because it can be changed into a prime (3826907047) 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, 3711325 + ... + 3712355.

It is an arithmetic number, because the mean of its divisors is an integer number (37059120).

Almost surely, 2^3826907040 is an apocalyptic number.

3826907040 is a gapful number since it is divisible by the number (30) 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 3826907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115351040).

3826907040 is an abundant number, since it is smaller than the sum of its proper divisors (10403795040).

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

3826907040 is a wasteful number, since it uses less digits than its factorization.

3826907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3826907040 is about 61861.9999676700. Note that the first 4 decimals coincide. The cubic root of 3826907040 is about 1564.1652657737.

The spelling of 3826907040 in words is "three billion, eight hundred twenty-six million, nine hundred seven thousand, forty".