3826751040 has 840 divisors, whose sum is σ = 16649468352. Its totient is φ = 830269440.

The previous prime is 3826751039. The next prime is 3826751053. The reversal of 3826751040 is 401576283.

3826751040 is a `hidden beast` number, since 3 + 82 + 67 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 3826750986 and 3826751004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29211775 + ... + 29211905.

Almost surely, 2^3826751040 is an apocalyptic number.

3826751040 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 3826751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324734176).

3826751040 is an abundant number, since it is smaller than the sum of its proper divisors (12822717312).

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

3826751040 is a wasteful number, since it uses less digits than its factorization.

3826751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3826751040 is about 61860.7390838487. The cubic root of 3826751040 is about 1564.1440116125.

The spelling of 3826751040 in words is "three billion, eight hundred twenty-six million, seven hundred fifty-one thousand, forty".