3825988096 has 160 divisors (see below), whose sum is σ = 9139236480. Its totient is φ = 1565491200.

The previous prime is 3825988073. The next prime is 3825988109. The reversal of 3825988096 is 6908895283.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 3825988096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13615476 + ... + 13615756.

It is an arithmetic number, because the mean of its divisors is an integer number (57120228).

Almost surely, 2^3825988096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569618240).

3825988096 is an abundant number, since it is smaller than the sum of its proper divisors (5313248384).

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

3825988096 is a wasteful number, since it uses less digits than its factorization.

3825988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The square root of 3825988096 is about 61854.5721511353. The cubic root of 3825988096 is about 1564.0400562736.

The spelling of 3825988096 in words is "three billion, eight hundred twenty-five million, nine hundred eighty-eight thousand, ninety-six".