3825081792 has 280 divisors, whose sum is σ = 13524926976. Its totient is φ = 1045135872.

The previous prime is 3825081781. The next prime is 3825081833. The reversal of 3825081792 is 2971805283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832333 + ... + 836915.

Almost surely, 2^3825081792 is an apocalyptic number.

3825081792 is a gapful number since it is divisible by the number (32) 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 3825081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762463488).

3825081792 is an abundant number, since it is smaller than the sum of its proper divisors (9699845184).

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

3825081792 is a wasteful number, since it uses less digits than its factorization.

3825081792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3825081792 is about 61847.2456298581. The cubic root of 3825081792 is about 1563.9165493812.

The spelling of 3825081792 in words is "three billion, eight hundred twenty-five million, eighty-one thousand, seven hundred ninety-two".