3851258880 has 704 divisors, whose sum is σ = 15563750400. Its totient is φ = 809238528.

The previous prime is 3851258857. The next prime is 3851258909. The reversal of 3851258880 is 888521583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89564139 + ... + 89564181.

It is an arithmetic number, because the mean of its divisors is an integer number (22107600).

Almost surely, 2^3851258880 is an apocalyptic number.

3851258880 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 3851258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781875200).

3851258880 is an abundant number, since it is smaller than the sum of its proper divisors (11712491520).

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

3851258880 is a wasteful number, since it uses less digits than its factorization.

3851258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The square root of 3851258880 is about 62058.5117449653. The cubic root of 3851258880 is about 1567.4760153937.

The spelling of 3851258880 in words is "three billion, eight hundred fifty-one million, two hundred fifty-eight thousand, eight hundred eighty".