3859826880 has 896 divisors, whose sum is σ = 16812085248. Its totient is φ = 726663168.

The previous prime is 3859826869. The next prime is 3859826881. The reversal of 3859826880 is 886289583.

It is a self number, because there is not a number n which added to its sum of digits gives 3859826880.

It is not an unprimeable number, because it can be changed into a prime (3859826881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34157704 + ... + 34157816.

It is an arithmetic number, because the mean of its divisors is an integer number (18763488).

Almost surely, 2^3859826880 is an apocalyptic number.

3859826880 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 3859826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406042624).

3859826880 is an abundant number, since it is smaller than the sum of its proper divisors (12952258368).

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

3859826880 is a wasteful number, since it uses less digits than its factorization.

3859826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The square root of 3859826880 is about 62127.5050199185. The cubic root of 3859826880 is about 1568.6375565718.

The spelling of 3859826880 in words is "three billion, eight hundred fifty-nine million, eight hundred twenty-six thousand, eight hundred eighty".