3712181226624 has 768 divisors, whose sum is σ = 12791992012800. Its totient is φ = 1022729379840.

The previous prime is 3712181226623. The next prime is 3712181226727. The reversal of 3712181226624 is 4266221812173.

3712181226624 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 1 + 8 + 12 + 2 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3712181226624.

It is not an unprimeable number, because it can be changed into a prime (3712181226623) 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, 379292259 + ... + 379302045.

It is an arithmetic number, because the mean of its divisors is an integer number (16656239600).

Almost surely, 2^{3712181226624} 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 3712181226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395996006400).

3712181226624 is an abundant number, since it is smaller than the sum of its proper divisors (9079810786176).

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

3712181226624 is a wasteful number, since it uses less digits than its factorization.

3712181226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9898 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 3712181226624 in words is "three trillion, seven hundred twelve billion, one hundred eighty-one million, two hundred twenty-six thousand, six hundred twenty-four".