3811418961696 has 576 divisors, whose sum is σ = 12059470080000. Its totient is φ = 1167853800960.

The previous prime is 3811418961671. The next prime is 3811418961719. The reversal of 3811418961696 is 6961698141183.

3811418961696 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 4 + 1 + 8 + 9 + 616 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6040283301 + ... + 6040283931.

It is an arithmetic number, because the mean of its divisors is an integer number (20936580000).

Almost surely, 2^{3811418961696} is an apocalyptic number.

3811418961696 is a gapful number since it is divisible by the number (36) 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 3811418961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029735040000).

3811418961696 is an abundant number, since it is smaller than the sum of its proper divisors (8248051118304).

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

3811418961696 is a wasteful number, since it uses less digits than its factorization.

3811418961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 897 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 3811418961696 in words is "three trillion, eight hundred eleven billion, four hundred eighteen million, nine hundred sixty-one thousand, six hundred ninety-six".