3841528680 has 768 divisors, whose sum is σ = 15599001600. Its totient is φ = 839808000.

The previous prime is 3841528643. The next prime is 3841528721. The reversal of 3841528680 is 868251483.

3841528680 is a `hidden beast` number, since 3 + 8 + 41 + 528 + 6 + 80 = 666.

3841528680 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62975850 + ... + 62975910.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^3841528680 is an apocalyptic number.

3841528680 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 3841528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3841528680 is an abundant number, since it is smaller than the sum of its proper divisors (11757472920).

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

3841528680 is a wasteful number, since it uses less digits than its factorization.

3841528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

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

The square root of 3841528680 is about 61980.0667957046. The cubic root of 3841528680 is about 1566.1548268113.

The spelling of 3841528680 in words is "three billion, eight hundred forty-one million, five hundred twenty-eight thousand, six hundred eighty".