3819121920 has 288 divisors, whose sum is σ = 13789641600. Its totient is φ = 1000636416.

The previous prime is 3819121903. The next prime is 3819121921. The reversal of 3819121920 is 291219183.

3819121920 is a `hidden beast` number, since 381 + 91 + 2 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819121921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2038104 + ... + 2039976.

It is an arithmetic number, because the mean of its divisors is an integer number (47880700).

Almost surely, 2^3819121920 is an apocalyptic number.

3819121920 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 3819121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894820800).

3819121920 is an abundant number, since it is smaller than the sum of its proper divisors (9970519680).

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

3819121920 is a wasteful number, since it uses less digits than its factorization.

3819121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 3819121920 is about 61799.0446528100. The cubic root of 3819121920 is about 1563.1038793916.

The spelling of 3819121920 in words is "three billion, eight hundred nineteen million, one hundred twenty-one thousand, nine hundred twenty".