3830078520 has 448 divisors, whose sum is σ = 14102323200. Its totient is φ = 932186880.

The previous prime is 3830078507. The next prime is 3830078537. The reversal of 3830078520 is 258700383.

3830078520 is a `hidden beast` number, since 38 + 30 + 0 + 78 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17175129 + ... + 17175351.

It is an arithmetic number, because the mean of its divisors is an integer number (31478400).

Almost surely, 2^3830078520 is an apocalyptic number.

3830078520 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 3830078520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051161600).

3830078520 is an abundant number, since it is smaller than the sum of its proper divisors (10272244680).

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

3830078520 is a wasteful number, since it uses less digits than its factorization.

3830078520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3830078520 is about 61887.6281658944. The cubic root of 3830078520 is about 1564.5972376914.

The spelling of 3830078520 in words is "three billion, eight hundred thirty million, seventy-eight thousand, five hundred twenty".