3812320512 has 1152 divisors, whose sum is σ = 16482816000. Its totient is φ = 836075520.

The previous prime is 3812320489. The next prime is 3812320517. The reversal of 3812320512 is 2150232183.

3812320512 is a `hidden beast` number, since 3 + 8 + 123 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812320517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131459314 + ... + 131459342.

It is an arithmetic number, because the mean of its divisors is an integer number (14308000).

Almost surely, 2^3812320512 is an apocalyptic number.

3812320512 is a gapful number since it is divisible by the number (32) 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 3812320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408000).

3812320512 is an abundant number, since it is smaller than the sum of its proper divisors (12670495488).

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

3812320512 is a wasteful number, since it uses less digits than its factorization.

3812320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3812320512 is about 61743.9917076957. The cubic root of 3812320512 is about 1562.1754264870.

Adding to 3812320512 its reverse (2150232183), we get a palindrome (5962552695).

The spelling of 3812320512 in words is "three billion, eight hundred twelve million, three hundred twenty thousand, five hundred twelve".