3825146880 has 528 divisors, whose sum is σ = 14829778080. Its totient is φ = 905969664.

The previous prime is 3825146851. The next prime is 3825146903. The reversal of 3825146880 is 886415283.

3825146880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14883712 + ... + 14883968.

Almost surely, 2^3825146880 is an apocalyptic number.

3825146880 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 3825146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414889040).

3825146880 is an abundant number, since it is smaller than the sum of its proper divisors (11004631200).

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

3825146880 is a wasteful number, since it uses less digits than its factorization.

3825146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3825146880 is about 61847.7718272857. The cubic root of 3825146880 is about 1563.9254199212.

The spelling of 3825146880 in words is "three billion, eight hundred twenty-five million, one hundred forty-six thousand, eight hundred eighty".