3828625920 has 640 divisors, whose sum is σ = 16003975680. Its totient is φ = 849346560.

The previous prime is 3828625883. The next prime is 3828625967. The reversal of 3828625920 is 295268283.

It is a happy number.

3828625920 is a `hidden beast` number, since 38 + 28 + 6 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19837344 + ... + 19837536.

It is an arithmetic number, because the mean of its divisors is an integer number (25006212).

Almost surely, 2^3828625920 is an apocalyptic number.

3828625920 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 3828625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001987840).

3828625920 is an abundant number, since it is smaller than the sum of its proper divisors (12175349760).

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

3828625920 is a wasteful number, since it uses less digits than its factorization.

3828625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3828625920 is about 61875.8912663082. The cubic root of 3828625920 is about 1564.3994156959.

The spelling of 3828625920 in words is "three billion, eight hundred twenty-eight million, six hundred twenty-five thousand, nine hundred twenty".