3825326953920 has 224 divisors, whose sum is σ = 12279161875968. Its totient is φ = 1008879316992.

The previous prime is 3825326953909. The next prime is 3825326953951. The reversal of 3825326953920 is 293596235283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77793982 + ... + 77843138.

Almost surely, 2^{3825326953920} is an apocalyptic number.

3825326953920 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 3825326953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139580937984).

3825326953920 is an abundant number, since it is smaller than the sum of its proper divisors (8453834922048).

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

3825326953920 is a wasteful number, since it uses less digits than its factorization.

3825326953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50067 (or 50057 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 57.

The spelling of 3825326953920 in words is "three trillion, eight hundred twenty-five billion, three hundred twenty-six million, nine hundred fifty-three thousand, nine hundred twenty".