3812106480 has 320 divisors, whose sum is σ = 15179028480. Its totient is φ = 769241088.

The previous prime is 3812106451. The next prime is 3812106509. The reversal of 3812106480 is 846012183.

It is an interprime number because it is at equal distance from previous prime (3812106451) and next prime (3812106509).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498526 + ... + 506114.

It is an arithmetic number, because the mean of its divisors is an integer number (47434464).

Almost surely, 2^3812106480 is an apocalyptic number.

3812106480 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 3812106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589514240).

3812106480 is an abundant number, since it is smaller than the sum of its proper divisors (11366922000).

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

3812106480 is a wasteful number, since it uses less digits than its factorization.

3812106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3812106480 is about 61742.2584620939. The cubic root of 3812106480 is about 1562.1461912931.

The spelling of 3812106480 in words is "three billion, eight hundred twelve million, one hundred six thousand, four hundred eighty".