3812947920 has 240 divisors, whose sum is σ = 13324147200. Its totient is φ = 976112640.

The previous prime is 3812947909. The next prime is 3812947921. The reversal of 3812947920 is 297492183.

3812947920 is a `hidden beast` number, since 38 + 129 + 479 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812947921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3101866 + ... + 3103094.

It is an arithmetic number, because the mean of its divisors is an integer number (55517280).

Almost surely, 2^3812947920 is an apocalyptic number.

3812947920 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 3812947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662073600).

3812947920 is an abundant number, since it is smaller than the sum of its proper divisors (9511199280).

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

3812947920 is a wasteful number, since it uses less digits than its factorization.

3812947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3812947920 is about 61749.0722197508. The cubic root of 3812947920 is about 1562.2611194916.

The spelling of 3812947920 in words is "three billion, eight hundred twelve million, nine hundred forty-seven thousand, nine hundred twenty".