3825200332800 has 1632 divisors, whose sum is σ = 17537425628160. Its totient is φ = 794139033600.

The previous prime is 3825200332771. The next prime is 3825200332829. The reversal of 3825200332800 is 82330025283.

It is a happy number.

3825200332800 is a `hidden beast` number, since 3 + 82 + 520 + 0 + 33 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3825200332771) and next prime (3825200332829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3406233039 + ... + 3406234161.

Almost surely, 2^{3825200332800} is an apocalyptic number.

3825200332800 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 3825200332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768712814080).

3825200332800 is an abundant number, since it is smaller than the sum of its proper divisors (13712225295360).

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

3825200332800 is a wasteful number, since it uses less digits than its factorization.

3825200332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3825200332800 in words is "three trillion, eight hundred twenty-five billion, two hundred million, three hundred thirty-two thousand, eight hundred".