3816126544752 has 560 divisors, whose sum is σ = 11814183486720. Its totient is φ = 1190978629632.

The previous prime is 3816126544751. The next prime is 3816126544753. The reversal of 3816126544752 is 2574456216183.

3816126544752 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 1 + 26 + 544 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3816126544751) and next prime (3816126544753).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816126544751) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5587300603 + ... + 5587301285.

Almost surely, 2^{3816126544752} 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 3816126544752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907091743360).

3816126544752 is an abundant number, since it is smaller than the sum of its proper divisors (7998056941968).

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

3816126544752 is a wasteful number, since it uses less digits than its factorization.

3816126544752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1123 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 3816126544752 in words is "three trillion, eight hundred sixteen billion, one hundred twenty-six million, five hundred forty-four thousand, seven hundred fifty-two".