3811401216 has 400 divisors, whose sum is σ = 13705253760. Its totient is φ = 1030164480.

The previous prime is 3811401203. The next prime is 3811401227. The reversal of 3811401216 is 6121041183.

It is a happy number.

3811401216 is a `hidden beast` number, since 38 + 11 + 401 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3811401216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515431 + ... + 5516121.

Almost surely, 2^3811401216 is an apocalyptic number.

3811401216 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 3811401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852626880).

3811401216 is an abundant number, since it is smaller than the sum of its proper divisors (9893852544).

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

3811401216 is an equidigital number, since it uses as much as digits as its factorization.

3811401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3811401216 is about 61736.5468422068. The cubic root of 3811401216 is about 1562.0498496837.

Adding to 3811401216 its reverse (6121041183), we get a palindrome (9932442399).

The spelling of 3811401216 in words is "three billion, eight hundred eleven million, four hundred one thousand, two hundred sixteen".