3825794669760 has 1680 divisors, whose sum is σ = 16870384344000. Its totient is φ = 822475358208.

The previous prime is 3825794669759. The next prime is 3825794669761. The reversal of 3825794669760 is 679664975283.

3825794669760 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 79 + 466 + 97 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3825794669759) and next prime (3825794669761).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3825794669761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2569371096 + ... + 2569372584.

Almost surely, 2^{3825794669760} is an apocalyptic number.

3825794669760 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 3825794669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435192172000).

3825794669760 is an abundant number, since it is smaller than the sum of its proper divisors (13044589674240).

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

3825794669760 is a wasteful number, since it uses less digits than its factorization.

3825794669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 3825794669760 in words is "three trillion, eight hundred twenty-five billion, seven hundred ninety-four million, six hundred sixty-nine thousand, seven hundred sixty".