3825959760 has 240 divisors, whose sum is σ = 14962506624. Its totient is φ = 857945088.

The previous prime is 3825959743. The next prime is 3825959777. The reversal of 3825959760 is 679595283.

It is an interprime number because it is at equal distance from previous prime (3825959743) and next prime (3825959777).

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

It is a junction number, because it is equal to n+sod(n) for n = 3825959697 and 3825959706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259959 + ... + 274281.

Almost surely, 2^3825959760 is an apocalyptic number.

3825959760 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 3825959760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481253312).

3825959760 is an abundant number, since it is smaller than the sum of its proper divisors (11136546864).

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

3825959760 is a wasteful number, since it uses less digits than its factorization.

3825959760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402 (or 14393 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3825959760 is about 61854.3430973121. The cubic root of 3825959760 is about 1564.0361950707.

The spelling of 3825959760 in words is "three billion, eight hundred twenty-five million, nine hundred fifty-nine thousand, seven hundred sixty".