3821425920 has 864 divisors, whose sum is σ = 16070745600. Its totient is φ = 828112896.

The previous prime is 3821425849. The next prime is 3821425921. The reversal of 3821425920 is 295241283.

It is a happy number.

3821425920 is a `hidden beast` number, since 3 + 8 + 21 + 42 + 592 + 0 = 666.

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 (3821425921) 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 95 ways as a sum of consecutive naturals, for example, 48372441 + ... + 48372519.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^3821425920 is an apocalyptic number.

3821425920 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 3821425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035372800).

3821425920 is an abundant number, since it is smaller than the sum of its proper divisors (12249319680).

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

3821425920 is a wasteful number, since it uses less digits than its factorization.

3821425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3821425920 is about 61817.6829070776. The cubic root of 3821425920 is about 1563.4181459901.

The spelling of 3821425920 in words is "three billion, eight hundred twenty-one million, four hundred twenty-five thousand, nine hundred twenty".