3807126336 has 448 divisors, whose sum is σ = 12387852288. Its totient is φ = 1019707392.

The previous prime is 3807126331. The next prime is 3807126343. The reversal of 3807126336 is 6336217083.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3807126294 and 3807126303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807126331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 45868951 + ... + 45869033.

It is an arithmetic number, because the mean of its divisors is an integer number (27651456).

Almost surely, 2^3807126336 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 3807126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193926144).

3807126336 is an abundant number, since it is smaller than the sum of its proper divisors (8580725952).

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

3807126336 is a wasteful number, since it uses less digits than its factorization.

3807126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3807126336 is about 61701.9151728696. The cubic root of 3807126336 is about 1561.4656311449.

The spelling of 3807126336 in words is "three billion, eight hundred seven million, one hundred twenty-six thousand, three hundred thirty-six".