3825897799680 has 1152 divisors, whose sum is σ = 14962360860720. Its totient is φ = 903138508800.

The previous prime is 3825897799601. The next prime is 3825897799697. The reversal of 3825897799680 is 869977985283.

3825897799680 is a `hidden beast` number, since 382 + 5 + 8 + 9 + 7 + 79 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 3825897799680.

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, 7315291899 + ... + 7315292421.

Almost surely, 2^{3825897799680} is an apocalyptic number.

3825897799680 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 3825897799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481180430360).

3825897799680 is an abundant number, since it is smaller than the sum of its proper divisors (11136463061040).

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

3825897799680 is a wasteful number, since it uses less digits than its factorization.

3825897799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 3825897799680 in words is "three trillion, eight hundred twenty-five billion, eight hundred ninety-seven million, seven hundred ninety-nine thousand, six hundred eighty".