3825054396800 has 384 divisors, whose sum is σ = 11636321894400. Its totient is φ = 1209870950400.

The previous prime is 3825054396799. The next prime is 3825054396803. The reversal of 3825054396800 is 86934505283.

It is a super-2 number, since 2×3825054396800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825054396803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791770385 + ... + 791775215.

It is an arithmetic number, because the mean of its divisors is an integer number (30302921600).

Almost surely, 2^{3825054396800} 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 3825054396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818160947200).

3825054396800 is an abundant number, since it is smaller than the sum of its proper divisors (7811267497600).

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

3825054396800 is a wasteful number, since it uses less digits than its factorization.

3825054396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 3825054396800 in words is "three trillion, eight hundred twenty-five billion, fifty-four million, three hundred ninety-six thousand, eight hundred".