3825292800 has 720 divisors, whose sum is σ = 15618018240. Its totient is φ = 820592640.

The previous prime is 3825292799. The next prime is 3825292811. The reversal of 3825292800 is 82925283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35750347 + ... + 35750453.

It is an arithmetic number, because the mean of its divisors is an integer number (21691692).

Almost surely, 2^3825292800 is an apocalyptic number.

3825292800 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 3825292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809009120).

3825292800 is an abundant number, since it is smaller than the sum of its proper divisors (11792725440).

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

3825292800 is a wasteful number, since it uses less digits than its factorization.

3825292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3825292800 is about 61848.9514866663. The cubic root of 3825292800 is about 1563.9453063118.

The spelling of 3825292800 in words is "three billion, eight hundred twenty-five million, two hundred ninety-two thousand, eight hundred".