3825929283488 has 384 divisors, whose sum is σ = 8828254955520. Its totient is φ = 1618259005440.

The previous prime is 3825929283487. The next prime is 3825929283503. The reversal of 3825929283488 is 8843829295283.

It is a super-2 number, since 2×3825929283488² (a number of 26 digits) contains 22 as substring.

Its product of digits (477757440) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (3825929283481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6180822443 + ... + 6180823061.

It is an arithmetic number, because the mean of its divisors is an integer number (22990247280).

Almost surely, 2^{3825929283488} 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 3825929283488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414127477760).

3825929283488 is an abundant number, since it is smaller than the sum of its proper divisors (5002325672032).

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

3825929283488 is a wasteful number, since it uses less digits than its factorization.

3825929283488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 71.

The spelling of 3825929283488 in words is "three trillion, eight hundred twenty-five billion, nine hundred twenty-nine million, two hundred eighty-three thousand, four hundred eighty-eight".