3825920640 has 128 divisors (see below), whose sum is σ = 12214540800. Its totient is φ = 1018621952.

The previous prime is 3825920603. The next prime is 3825920641. The reversal of 3825920640 is 460295283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3825920641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655806 + ... + 1658114.

It is an arithmetic number, because the mean of its divisors is an integer number (95426100).

Almost surely, 2^3825920640 is an apocalyptic number.

3825920640 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 3825920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107270400).

3825920640 is an abundant number, since it is smaller than the sum of its proper divisors (8388620160).

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

3825920640 is a wasteful number, since it uses less digits than its factorization.

3825920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3825920640 is about 61854.0268697196. The cubic root of 3825920640 is about 1564.0308643556.

The spelling of 3825920640 in words is "three billion, eight hundred twenty-five million, nine hundred twenty thousand, six hundred forty".