3801124763436 has 288 divisors, whose sum is σ = 12129087543552. Its totient is φ = 910755740160.

The previous prime is 3801124763419. The next prime is 3801124763437. The reversal of 3801124763436 is 6343674211083.

3801124763436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3801124763437) 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, 134267995 + ... + 134296301.

It is an arithmetic number, because the mean of its divisors is an integer number (42114887304).

Almost surely, 2^{3801124763436} 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 3801124763436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064543771776).

3801124763436 is an abundant number, since it is smaller than the sum of its proper divisors (8327962780116).

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

3801124763436 is a wasteful number, since it uses less digits than its factorization.

3801124763436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29949 (or 29940 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 3801124763436 in words is "three trillion, eight hundred one billion, one hundred twenty-four million, seven hundred sixty-three thousand, four hundred thirty-six".