3816695282400 has 1728 divisors, whose sum is σ = 19133891352576. Its totient is φ = 688988160000.

The previous prime is 3816695282377. The next prime is 3816695282401. The reversal of 3816695282400 is 42825966183.

3816695282400 is a `hidden beast` number, since 3 + 8 + 16 + 69 + 528 + 2 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816695282401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122506825 + ... + 122537975.

It is an arithmetic number, because the mean of its divisors is an integer number (11072853792).

Almost surely, 2^{3816695282400} is an apocalyptic number.

3816695282400 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 3816695282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566945676288).

3816695282400 is an abundant number, since it is smaller than the sum of its proper divisors (15317196070176).

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

3816695282400 is a wasteful number, since it uses less digits than its factorization.

3816695282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31225 (or 31209 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3816695282400 in words is "three trillion, eight hundred sixteen billion, six hundred ninety-five million, two hundred eighty-two thousand, four hundred".